Comparing Rates of Change (Google Form & Interactive Video Lesson!) This product includes: (1) Interactive video lesson with notes on comparing the rate of change of tables and graphs. Graph proportional relationships, interpreting the unit rate as the slope of the graph. For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour. • Convert fractions ↔ decimals percents. To ensure a fair test, a good experiment has only one independent variable. WorksheetWorks. We have already seen that the instantaneous rate of change is the same as the slope of the tangent line and thus the derivative at that point. 45 "Budget Summary Worksheet ". Absolute Convergence. To change the rate, simply "gross up" the. Acceleration is the rate of change of velocity. SOLUTION Change in value Average rate of change = Change in time $125,000 - $89,000 $36,000 6 yrs = $6000 per year 6 yrs. The rate of the second reaction, its reverse, is the product of the rate constant k-1 and the concentration of C and/or D. 3 Steps to Compare and Contrast Excel Spreadsheet Professionally There are many document compare tools that claim to be the fastest, the most accurate, and the easiest to use. Have students complete unit rate worksheet well going around to teach station (attached below). rate of change worksheets pdf When you take out a fixed rate loan with us, you sign a contract to lock in. Slope and Rate of Change FINDING SLOPES OF LINES The of a nonvertical line is the ratio of vertical change (the rise) to horizontal change (therun). Rates of change can be positive or negative. In a chemical reaction it is the amount of product that forms in a given interval of time or it can be defined as the amount of reactant that disappears in a given interval of time. and the consequent rate change (another. 100000 person years);. TD Bank WOW!Zone 1 Grades 9-12/Lesson 9 Worksheet: Calculating Marginal vs. shows the constant rate of change of the snow level on the mountain. Rate of change word problems pdf Word problems involving rate of change. negative slope 3. A remains constant and B is tripled. The rate law is the equation that describes the rate = the product of reactants raised to some exponents. This is a great way to introduce functions and to practice usin. 0058, which is a decrease of 0. Unit Rates and Graphs Worksheet 1 (Integers) - This 9 problem worksheet features graphs that represent everyday situations. Graphing Thirds and Triples - Children work on a problem about distance and time and compare two rates: one third of a meter per second and three meters per second. A rate is a ratio that compares two different kinds of numbers, such as miles per hour or dollars per pound. Ratios, Rates & Unit Rates Ratios A _____ is a comparison of two quantities by division. As an application, we use the velocity of a moving object. Showing top 8 worksheets in the category - Rates Of Change Slope. Each worksheet has 10 problems finding the unit rate with fractions. Graph the ordered pairs on the grids in the My Notes space. A change in the scale in a bar graph may alter one's visual perception of the data. Worksheet 2. What is the cost if the distance is zero? d. Slope As Rate Of Change Math Mountain Worksheets - Best Mountain 2017 Piecewise Function Rate Of Change Worksheet S P1. 8th grade worksheets define evaluate and compare functions proportional relationships tables graphs equations notes practice 7 rp 2 graphing equation type1 patterns function machine worksheets machines filling in missing digit worksheet. The average rate of change is nothing more than a slope of a line. Comparing quotes from multiple companies is the best way to know you’ve found the lowest car insurance rate possible. Consider an example from The Nurses' Health Study. These ratio worksheets will generate 16 Ratio and Rate problems per worksheet. Both functions model a relationship between hours studied and score on a test. How to Find a Unit Rate. Recognize familiar unit rates. Use the proportionality of the similar shapes to find the missing length, worksheet #2. Remember that the slope is the constant rate of change. With it, you can get information on moving and relocation factors such as population density, weather, school reports, city demographics and more!. Word Doc PDF Use rates and ratios to answer the questions, worksheet #1. Your math book might say it is a comparison of two numbers or quantities. The rate change = (51) - (21) = 51 - 21 = 30 Since 30 is greater on the positive scale then -18 is on the negative scale, then the table values have to have a greater rate of change. What Does Experience Rating Do? Insurance spreads, or shares, the cost of a loss with members of a group that are likely to experience similar losses. Popular Side-by-Side Car Comparisons. Answer: If the problem is referring to the half-life, then the ratio of = 0. Years after 2000 (x) 3 4 6 8 13 Cost (cents) 37 37 39 42 46 Find the rate of change, change in postage __ change in year, for each time period using the table. Interpretation of the derivative as a rate of change in varied applied contexts, including velocity, speed, and acceleration. Round to the nearest tenth of a percent. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. _____ _____ _____ 6b. Download, print & watch your kids learn today!. Worksheet 4. More for- mally, the average rate of temperature change is calculated as: 3 5 15 6 1 31 16 change in change in = = − − = = δ δ. 2 Analyze tables and graphs to determine the rate of change between and among quantities. We already know that the slope of a function at a particular point is given by the derivative of that function, evaluated at that point. In this method, the age-specific rates are first calculated for the various age groups (e. Eve keeps a record of the number of lawns she has mowed and the money she has earned. Calculate the slope of the line. Use simple interest to find the ending balance. , slope) versus variable rates of change. The best source for free ratio worksheets. Your instructor might use some of these in class. Rate of Change in Word Problems. Both functions model a relationship between hours studied and score on a test. 2) A line with positive slope rises from left to right. Students need to understand the concepts of ratios, rates, and percents. The harmonic series diverges very slowly. WORKSHEET ON PAST RELATED RATES QUESTIONS FROM AP EXAMS 1. Lesson HOW TO Solve Rate of Work (painting, pool filling, etc) Problems Algebra -> Rate-of-work-word-problems -> Lesson HOW TO Solve Rate of Work (painting, pool filling, etc) Problems Log On. Let's look at some RATE examples and explore how to use the RATE function as a worksheet function in Microsoft Excel: This first example returns the interest rate per payment period on a $5,000 loan where monthly payments of $250 are made for 2 years. Create New Sheet Share Select a Worksheet Version 1 Version 2 Version 3 Version 4 Version 5 Version 6 Version 7 Version 8 Version 9 Version 10 Grab 'em All Create New Sheet. Identifying points that mark the interval on a graph can be used to find the average rate of change. He has 30 toys at the start of the day. and rates are subject to change at any time without notice. Defining the Rate of a Reaction. In this rate of change in other situations worksheet, students solve 6 various types of problems related to determining the rate of change in various situations. 5 because half of the original sample has already undergone decay. ALGEBRA Name: _____Slope and Rate of Change Period: ____The rate of change is constant in the table. Learn vocabulary, terms, and more with flashcards, games, and other study tools. A ratio is a statement of how two numbers compare. It was a beautiful thing to watch it unfold! Every time I gave my students a table or set of points, we classified the variables as dependent or independent before moving on to finding rate of change. State if it is an increase or decrease. pv is the loan amount. ] Friday: Complete the half sheet "Self Analysis Sheet for Math 1: Mid Unit 1 Test" to hand in on Monday - and it will be for a 1 point homework grade. Another common method of calculating rates of change is the Average Annual or Compound Growth Rate (AAGR). I can determine the rate of change by the definition of slope. If five apples cost $2. y = f(x) has a positive rate of change and y = g(x) has a negative rate of change. It is the coefficient of the independent variable and determines the steepness of the line. The Derivative as an Instantaneous Rate of Change. rate of change from a table worksheet worksheets for all download and share worksheets free on bonlacfoods com 8th Grade Worksheets Define Evaluate And Compare. AGE 3 5 7 9 11 13 15 17 RATE OF CHANGE IN HEIGHT (INCHES PER YEAR) 3. For example, the following statements compute the month-over-month change in CPI as a percent change at annual rates:. Module 2: Worksheet 4b. Your worksheet is full. Using mathematics and referring to your graph and the unit. PRB Wins $30-million Award from USAID for Project to Accelerate Reductions in Global Maternal and Child Deaths. 50 /1 h, $3. Instantaneous Rates of Change Date_____ Period____ For each problem, find the average rate of change o f the function over the given interval and also find the instantaneous rate of change at the leftmost value of the given interval. Waiver Approval. and the other two arguments are optional and can be ignored. We hope that you find exactly what you need for your home or classroom!. Note that annual mortality rates are often expressed as rates per 100000 population or units of person time (i. The unit rate is a way to compare prices of different sized packages to see which price is really the best deal. According to an article in Forbes, Change Management Guru is the world’s oldest profession. Acceleration is the rate of change of velocity. 00 5) $14,000 at 6% for 9 years $21,560. Find the slope of the graph using the points (1, 2) and (5, 10). Chemical Kinetics Chemical kinetics is the study of the speed at which chemical and physical processes take place. 3 PAGE 184 - 188: 3PT - EXS. While there are many change management models, most companies will choose at least one of the following three models to operate under: 1. 5 Worksheet Name _____ Comparing Functions Per ___ Date _____ Determine whether each function has a constant or variable rate of change. A unit rate compares a quantity to its unit of measure. To calculate the average rate of change (the average bicycle speed) in Excel, you can easily do as follows: 1. In cell A3, I would put the formula to divide the Sri Lankan Rupees into Aussie dollars and round the results to the closest 2nd decimal. In addition, you can customize the slide by deleting words/examples before printing so as to provide students with a guided notes handout to keep them engaged in the process. B) f(x) has a rate of change that is half that of g(x). we test the following null and alternative hypotheses: H 0 : β 1 = β 2 i. An equation is linear if the power of x is either 1 or 0 and it appears in the numerator. State if it is an increase or decrease. 6 percent per year, between 1950 and 2000. Understand that a function is a rule that assigns to each input exactly one output. Slope rate-change-tables worksheet 1. Select B5 and enter the Rate function: =RATE(B3,0,-B1,B2). Compare the rates of change. positive slope 2. Y-intercept (b) is the "initial value," or " starting place. Some of the worksheets displayed are Name, Work 1 3 unit rates comparisons, Gr6 8 savvy shopping unit pricing work student version, Ratios rates unit rates, Comparing auto loans, P 7 unit rates, Grades mmaise salt lake city, Answer key. Primary succession occurs in essentially lifeless areas—regions in which the soil is incapable of sustaining. View, download and print Comparing Rate Of Change - Function Worksheet With Answers pdf template or form online. Unit Rate And Ratio Worksheet, Unit Rate Worksheet Answers, Interpreting Unit Rate As Slope Worksheet, Unit Rate And Better Buy Worksheet, Unit Rate And Unit Cost Worksheet, Unit Rate And Unit Price Worksheet, Unit Rate Worksheet Better Buy, Unit Rate Better Deal Worksheet, Basic Unit Rate Worksheet, Unit Rate Comparison Worksheet, Unit Rate. Questions will test how well you know things like what it means when you are. The graph at right shows the rate at which Shawn picked fruit. interest in the carbon cycle. 1 Model and illustrate meaning of ratios and proportions including percent 2. Help students to heighten their logical reasoning with this batch of meticulously drafted unit-rate worksheets. Graphing Halves and Doubles - Children work on a problem about distance and time and compare two rates: half a meter per second and two meters per second. Average speed is a rate. SOLUTION Change in value Average rate of change = Change in time $125,000 - $89,000 $36,000 6 yrs = $6000 per year 6 yrs. Each worksheet has 8 problems comparing the rate of change between graphs, tables and equations. Solving percentage problems is an important skill that you'll learn in 7th grade. if you have two groups of data "x" and "y" change over "time" , compare if the increase rate of "x" and "y" over time is same or not. Be sure to locate two exact points! 5. About "Rate of change and slope worksheet" Rate of change and slope worksheet : Worksheet on r ate of change and slope is much useful to the students who would like to practice problems gradient. X Y 20 35 25 40. Simply defined, a rate of change is the relationship between two numbers or quantities and how they change in relationship to each other. Find the unit rate for each situation. (Give the result in new productions per year. Find each percent change. 5 km in 30 minutes. the age for a boy at the 50th percentile from age 3 to 20. Fixed rate: The interest you’re charged stays the same for a number of years, typically between two to five years. Using (6, 2) for (x 2, y 2. The price change per year is a rate of change because it describes how an output quantity changes relative to the change in the input quantity. Fractions, Ratios, Rates, and Percents: Overview. So we can easily find the slope, or the rate of change, in one particular location, and so we could call this the instantaneous rate of change, because it’s the rate of change at that particular instant. Brand A costs $3. The linear function y = 6x + 4 describes. Welcome to the Percents math worksheet page where we are 100% committed to providing excellent math worksheets. Comparing Unit Rates Worksheet 1 RTF Comparing Unit Rates Worksheet 1 PDF View Answers. Rates of Change Recall that the slope of a line measures a rate of change. Showing top 8 worksheets in the category - Rates Of Change Slope. Explain what the rate of change means for the situation. The slope of a line is represented by the letter m. My Health Insurance Comparison Worksheet This worksheet will help you compare three health insurance options. Function 1: y = 2x + 6 Function 2: y = 6x + 10 3. Fixed rate mortgages. Module 2: Worksheet 4b. Discover our collection of GCSE maths ratio, proportion and rates of change resources: lessons, activities, powerpoints and notes. View, download and print Comparing Rate Of Change - Function Worksheet With Answers pdf template or form online. All of the lines below are different ways of stating the same ratio. Use our tool below to see how it all stacks up. In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`. Based on B(x), Milwaukee had a population of about 629,000 in 1990. An Educational platform for parents and teachers of pre-k through 5th grade kids. Recognize intervals of of change. Applying Ideas of Constant Rate of Change Linearity. Rate of Change • Examine rate of change in a variety of contexts. It is a comparison of the size of one number to the size of another number. com is an online resource used every day by thousands of teachers, students and parents. What this means is that Ca(2+) is disappearing 3 times faster than Ca3(PO4)2 is appearing. This printable supports Common Core Mathematics Standard 8. Rates are never regulated by LFAs for any tier of service beyond basic tier services. <1, 1-4, 5-14, 15-24, etc. A substance that increases the rate of a reaction but does not become part of the products of the reaction is called a catalyst. • Velocity tells the speed and direction of a. 2) Examine experiment 3 compared to experiment 1. · Apply the slope formula. Use the values from the second and fourth rows to find the rate of change. Answer: If the problem is referring to the half-life, then the ratio of = 0. In partic-ular, for a line y = mx+b the slope is m = ¢y ¢x; the change in y divided by the change in x. Initial Value and Rate of Change In the graph of the above scenario, we can identify two important features of this linear relation: the initial value and the rate of change. If five apples cost $2. So this is the change in f over the change in x. Real life problems are a little more challenging, but hopefully you now have a better understanding. Questions will test how well you know things like what it means when you are. This concept has many applications in electricity, dynamics, economics, fluid flow, population modelling, queuing theory and so on. <1, 1-4, 5-14, 15-24, etc. Your instructor might use some of these in class. Calculate the slope of the line. These unit rate and proportion worksheets will help students meet Common Core Standards for Ratios & Proportional Relationships by working with unit rates in multiple representations. For example, if you're looking at an investment that increases by 10% one year and decreases by 20% the next, the simple rates of change are 10% and -20%, but that's not what you're taking the geometric mean of. your help is appreciated. Recognize familiar unit rates. Note that the rate of change continues the rate concepts that were introduced in Comparing Bits and Pieces. rate of change word problems worksheet with answers Rate of Change Word Problems - Connecting Slope to Real Life More. Constant Rates Of Change Answer Key. Use the graph of the function to find the indicated function values. Lesson and worksheet. As products are formed, there are fewer reactant particles to react which means there will be fewer successful collisions, so, the reaction rate decreases. Consider the two** equations that deal with Delta G (∆G). These Ratio Worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade. Comment on how well or how poorly the equation fits the data. Understand that a unit rate is a rate where the second term is one unit, e. Notes: Students need to become comfortable with graphs, and creating their own simple graphs is an excellent way to develop this understanding. FMECA is performed prior to any failure actually occurring and analyzes risk to take action and thus provide an opportunity to reduce the possibility of failure. 5 Suggested Learning Targets. So this is the change in f over the change in x. We hope that you find exactly what you need for your home or classroom!. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Two functions are graphed. Riding a bike 10 miles in 1 hour or jogging 3 miles in 24 minutes. A powerpoint with worksheet on successive percentage change and compound interest. Search, Click, Done! Bringing an app store experience to IU services. Another common method of calculating rates of change is the Average Annual or Compound Growth Rate (AAGR). In the examples above the slope of line corresponds to the rate of change. Distance - Rate - Time Word Problems. What happens to a boy's rate of change in height rate over time? Explain. Practices to slope, rates, unit rates, linear equations, and linear graphs. rate of change from a table worksheet worksheets for all download and share worksheets free on bonlacfoods com 8th Grade Worksheets Define Evaluate And Compare. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Using (6, 2) for (x 2, y 2. About This Quiz & Worksheet. (a) At the instant the depth is 5 cm, what is the rate of change of the height?. When the dependent variable increases when the independent variable increases, the rate of change is (Positive, negative, zero, undefined) circle one. 62/87,21 To find the rate of change, use the coordinates (2004, 5545) and (2008, 6830). Rate is a change in some value over a period of time. Interpret the rate of change and initial value of linear function in terms of the situation it models and in terms of its graph or a table of values. a) f(x)=3x+5 from x=2 to x=3 & b) g(x)=x2+4 from x=2 to x=3 c) h(x)=3x from x=2to3 d) Write a conclusion regarding how you can use the average rate of change to compare the. Worksheets are Name, Name, Notes lesson 4 14 comparing rate of change initial value, Lesson plan linda bolin, Gr6 8 savvy shopping unit pricing work student version, Work 1 3 unit rates comparisons, Ratios rates unit rates, Answer key. Prentice Hall Pearson Prentice Hall and our other respected imprints provide educational materials, technologies, assessments and related services across the secondary curriculum. This worksheet has four word problems on it with both addition and subtraction problems on it with facts up to 20. While rate of change is often used to determine the steepness of a straight line, this formula may also be utilized to measure changes in other things. At some set of concentrations of A, B, C, and D the rate of the forward reaction will equal the rate of the reverse reaction and there will be no additional net change in the concentrations of reactants and products. Ratios and Rates Word Problems Worksheets These Ratio Worksheets will produce eight ratio and rates word problems for the students to solve. The slope is also the unit rate or constant rate of change: for every five apples, we pay another $2. For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph. Find the proportional relationship between x and y values to solve this set of pdf worksheets that comprise graphs, equations, and tables. Tell whether. Compare two different proportional relationships represented in different ways. Here is a graphic preview for all of the Linear Equations Worksheets. MiSP Human Growth and Development Worksheet #1 L2 5 6a. Similar to ratios, as discussed above, rates of change are expressed as ratios and fractions, but with some measure of change in addition to the numbers that are used in a ratio. 4) The slope of a horizontal line is equal to 0. Use these printables and lesson plans to teach students how to read and create various types of graphs and charts. We hope that you find exactly what you need for your home or classroom!. Regional rapid warming here began in the 1930s 2. decreased at an average rate of about 0. 8th Grade Rate Of Change. 66 for 8 packages of juice boxes f) $284 for a 4 day car rental g) 560 heartbeats in 6. Step 2: Identify Forces For Change. 1bRecognize situations in which one quantity changes at a. 8th Grade Worksheets - Define, evaluate, and compare functions. Just as two points determine a line, two points are all that are needed to determine a line's slope. While there are many change management models, most companies will choose at least one of the following three models to operate under: 1. LESSON PLAN (Linda Bolin) Lesson Title: Ratios, Unit Rates, and Proportions Course: Pre-algebra Date December Lesson 1 Utah State Core Content and Process Standards: 2. Do you get the rate of change of 260 feet per minute if you use nonconsecutive rows of the table? Explain. Mark also started with $20. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. It was a beautiful thing to watch it unfold! Every time I gave my students a table or set of points, we classified the variables as dependent or independent before moving on to finding rate of change. Suddenly, if we can measure how fast one thing is appearing or disappearing, we know how the other substances' concentrations are changing as well. This tutorial shows you how to use the information given in a table to find the rate of change between the values in the table. Initial Value and Rate of Change In the graph of the above scenario, we can identify two important features of this linear relation: the initial value and the rate of change. compare exp. PO4(3-) is disappearing twice as fast as Ca3(PO4)2 is appearing. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). 00 4) $20,600 at 8% for 2 years $23,896. You can compare up to 3 new and used cars, trucks, and more. Percent change is a common method of describing differences due to change over time, such as population growth. Free printable worksheet (pdf) and Answer Key on slope includes visual aides, model problems, exploratory activities, practice problems, and an online component Slope of a Line Worksheet with Answer Key. !! Jesse:!! ! ! ! Troy:!=28!! Lucy:! x(gallons)! y!(miles)! 0! 0!. These ratio worksheets will generate 16 Ratio and Rate problems per worksheet. 6 and 10192. 2020 Emerging Manager Conference Member Education Videos. 2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Greatest Rate Of Change Some of the worksheets for this concept are Rate of change 1, 03, 6 1 rate of change and slope war, Aim how do we compare different linear functions, Interpreting slopes and y intercepts of proportional and, Hw, Rates of change graphing in context work, Slope rate of change. Climate change is strongly affecting Antarctica. To carry out a Force Field Analysis, use a blank sheet of paper or a whiteboard, or download our worksheet and follow these five steps. Worksheet 5. 3 PAGE 184 - 188: 3PT - EXS. 4 VELOCITY AND OTHER RATES OF CHANGE. Negative rate of change. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. Free printable worksheet (pdf) and Answer Key on slope includes visual aides, model problems, exploratory activities, practice problems, and an online component Slope of a Line Worksheet with Answer Key. Unit Rate of Change (slope) Δ y/Δ x. In math, distance, rate, and time are three important concepts. 3 – Slope and Rate of Change Draw a line with each of the following slopes. FMECA is performed prior to any failure actually occurring and analyzes risk to take action and thus provide an opportunity to reduce the possibility of failure. You can select different variables to customize these Linear Equations Worksheets for your needs. To calculate growth rate, start by subtracting the past value from the current value. Home » Instantaneous Rate of Change: 2 Instantaneous Rate of Change: The Derivative. Learning Objective(s) · Calculate the rate of change or slope of a linear function given information as sets of ordered pairs, a table, or a graph. How quickly is the candle melting?. Slope and Rate of Change FINDING SLOPES OF LINES The of a nonvertical line is the ratio of vertical change (the rise) to horizontal change (therun). Slope and Rate of Change Period: ____ The rate of change is constant in the table. Find the unit rate of snowfall in inches per hour. An Educational platform for parents and teachers of pre-k through 5th grade kids. Around the Antarctic Peninsula, temperatures are warming at a rate that is approximately six times the global average. Max started a job where his salary is found by the equation: f(x) = x + 10, where x is the number of years. Velocity and Acceleration from Graphs and Tables Outline. bluepelicanmath. Word Doc PDF Use rates and ratios to answer the questions, worksheet #1. b Worksheet by Kuta Software LLC For each problem, find the average rate of change of the function over the given interval. Interpret this slope as a rate of change. These ratio worksheets will generate 10 Rates and Unit Rates problems per worksheet. Many educational loan programs, including the Stafford and PLUS loans, have variable interest rates. 3 PAGE 184 - 188: 3PT - EXS. This is done by exponentiation of the current-to-previous period ratio to the number of periods in a year and expressing the result as a percent change. The main activity for today's lesson, Activity Worksheet, asks students to apply their understanding of slope in several different situations. Find the rate of change (Hint: word problems are units Identify what you are given and determine the unit and the time. Be sure to locate two exact points! 5. Math 1A: introduction to functions and calculus Oliver Knill, 2014 Lecture 7: Worksheet Rate of change We compute the derivative of f(x) = 1=x by taking limits. %What%is%the%rate%of%change%of%volume%. Do you get the rate of change of 260 feet per minute if you use nonconsecutive rows of the table? Explain. Compare the Ratios Worksheet About This Worksheet: Hopefully students will breeze through this one. Slope Investigation ABOUT THIS LESSON This lesson uses a real-world situation to introduce students to a constant rate of change and to define the rate of change as slope. Extreme Values of Functions. The initial rate of reaction. Once you find your worksheet, click on pop-out icon or print icon to worksheet to print or download. Two different types of succession—primary and secondary—have been distinguished. Compare the results and what they mean. PO4(3-) is disappearing twice as fast as Ca3(PO4)2 is appearing. Page 1 of 9 OMB No. The linear function y = 6x + 4 describes. Compare the rates of change. Find the unit rate for each situation. Compare insurance premiums for various kinds of insurance.