Money Earned vs. Bookmarks Sold (12, 20) Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of change for the function graphed to the left? 20 18 16 12 (8. 10) 10 (4 0) 24 10 12 14 16 18 20x Bookmarks Sold Money Earned en nle n

Money Earned vs. Bookmarks Sold (12, 20) Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of change for the function graphed to the left? 20 18 16 12 (8. 10) 10 (4 0) 24 10 12 14 16 18 20x Bookmarks Sold Money Earned en nle n

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 33E: DVD Player sales The table shows the number of DVD play-ers sold in a small electronics store in the...

See similar textbooks

Similar questions

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
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 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 changes 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 is the same over each interval. This shows the data are linear, even though the differences in y are not constant. Then find a linear model for the data. x 1 2 5 6 y 7 10 19 22
The U.S. Census tracks the percentage of persons 25 years or older who are college graduates. That data forseveral years is given in Table 4[14]. Determine whether the trend appears linear. If so, and assuming the trendcontinues. in what year will the percentage exceed 35%?
DVD Player sales The table shows the number of DVD play-ers sold in a small electronics store in the years 2003-2013. What was the average rate of change of sales between 2003 and 2013? Whatwas the average rate of change of sales between 2003 and 2004? What was the average rate of change of sales between 2004 and 2005? Between which two successive years did DVD player sales increase most quickly?
Farms in the United States The graph gives the number of farms in the United States from 1850 to 2000. aEstimate the average rate of change in the number of farms between i 1860 and 1890 and ii 1950 and 1970. bIn which decade did the number of farms experience the greatest average rate of decline?
Research and Development The amounts (in billions of dollars) the U.S. federal government spent on research and development for defense from 2010 through 2014 can be approximated by the model y=0.5079t28.168t+95.08 where t represents the year, with t=0 corresponding to 2010. (a) Use a graphing utility to graph the model. (b) Find the average rate of change of the model from 2010 to 2014. Interpret your answer in the context of the problem.
(a) If per capita GDP rises by $1,000, by how much does the % of GDP spent on health change? (b) If the slope coefficient equals zero what is the implied income elasticity of health ex- penditures? Explain. (c) Test at 5% whether or not there is a relationship between healthgdp and gdppc.
Earthquakes: The scatterplot below was produced to investigate whether, for the period of observation, the data are consistent with the rate at which earthquakes occur in California remaining constant. 1) Explain why the graph suggests that the average rate at which earthquakes occurred in California was not constant over the period. 2) How did the average rate change over time?
A hotel is monitoring how the number of increases in price affects the weekly profit. The table models the weekly profit, y, after a given number of price increases, x. Which type of models would best fit the data?
As a part of a grand opening, an arcade gave out free tokens to tye first 100 customers. The graph shows the number of tokens costomers received for each dollar spent at the play more arcade. Find the interpret rate of change of change and the initial value
Here is the route that Laura and Jean-François take on a hike up a mountain trail to a small cottage. a) Describe Laura's and Jean-François's journey by specifying, between each of the letters on the graph below, the average rate of change of the distance they travel. distance they travel. b) What is the average speed of travel to the cottage? Please answer both sub questions please
Monthly sales have been found to follow a linear trend of y = 10 + 8x, where y is the number of items sold and x is the number of the month. Monthly deviations from the trend have been calculated and follow an additive model. In month 12, the seasonal variation is estimated to be -6. What is the forecasted number of items to be sold in month 12?