Please help ALEKS - Kailey Wertz - LearnO Exam: 04.03 Reading an Argum xE Spring E4 Segment 2 Pa+ > CAb www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-JxKPnLSRqYO students.leeschools.net bookmarksO MODULE 7: BUILDING AND INTERPRETING FUNCTIONSFinding the average rate of change of a function given its graph-8--2-ExplanationCheck tudents.leeschools.net bookmarksO MODULE 7: BUILDING AND INTERPRETING FUNCTIONSFinding the average rate of change of a function given its graphThe graph of a function g is shown below.Use the graph of the function to find Its average rate of change from x=-2 to x 1.Simplify your answer as much as possible.8-6-4-ExplanationCheck

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A ALEKS - Kailey Wertz - Learn 6 Exam: 04.03 Reading an Argum x ESpring E4 Segment 2 Pa + > CA b www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IJ×KPNLSRQY students.leeschools.net bookmarks O MODULE 7: BUILDING AND INTERPRETING FUNCTIONS Finding the average rate of change of a function given its graph 8- 6+ II

A ALEKS - Kailey Wertz - Learn 6 Exam: 04.03 Reading an Argum x ESpring E4 Segment 2 Pa + > CA b www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IJ×KPNLSRQY students.leeschools.net bookmarks O MODULE 7: BUILDING AND INTERPRETING FUNCTIONS Finding the average rate of change of a function given its graph 8- 6+ II

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 7CA

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Average Rate of Change Graphs of the functions f,g , and h are shown below. What can you say about the average rate ofchange of each function on the successiveintervals [0,1],[1,2],[2,3],.......?
When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data are not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of change is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change from 2 to 5 is not the same as the average rate of change from 5 to 6. This shows that the data are not linear, even though the differences in y are constant. x 1 2 5 6 y 3 6 9 12
Let f be a function with constant rate of change. Then a f is a ________ function and f is of the form fx = ______x ________. b The graph of f is a __________.
The American Food Dollar The following table shows the percentage P=P(d) of the American food dollar that was spent on eating away from home at restaurants, for example as function of the date d. d=Year P=Precentspentawayfromhome 1969 25 1989 30 2009 34 a. Find P(1989) and explain what it means. b. What does P(1999) mean? Estimate its value. c. What is the average rate of change per year in percentage of the food dollar spent away from home for the period from 1989 to 2009? d. What does P(2004) mean? Estimate its value. Hint: Your calculation in part c should be useful. e. Predict the value of P(2014) and explain how you made your estimate.
An electric company charges 10 per month plus 20 for each kilowatt-hour kwh of electricity used. a. Find a function that gives the total cost C of x kwh of electricity. b. Find the total cost of using 775 kwh. c. Find a function that gives the mean cost kwh C, when using x kwh. d. Find the mean cost per kwh when 775 kwh are used. Round to the nearest hundredth. e. Find the mean cost per kwh when 3200 kwh are used. Round to the nearest hundredth.
Price of Amazons Kindle The following table shows the price of Amazons Kindle 2 e-book reader. It is adapted from data available on the web. Here time is measured in months since February 2009, when the Kindle was launched. Time Price 0 349 5 299 10 249 15 199 a. By calculating differences, show that these data can be modeled using a linear function. b. Find a linear formula that models these data. Be careful about the sign of the slope. c. What price does your formula from part b project for January 2012 35 months after the Kindle was launched? Note: The web data were the basis for speculation that some day the Kindle would be free.
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.