. Population Growth and Decline The graph shows the population P in a small industrial city from 1950 to 2000. The variable x represents the number of years since 1950. (a) What was the average rate of change of P between x = 20 and x = 40? (b) Interpret the value of the average rate of change that you found in part (a). P (thousands) 50 40 30 20 10 10 20 30 40 50 * (yr)

Can the average rate of change of a function be constant?

Average Rate of Change Graphs of the functions f, g, and h are shown below. What can you say about the average rate of change of each function on the successive intervals 0, 1, 1, 2, 2, 3, ?

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?

Rage of decrease The price of computers has been dropping steadily for the past ten years. If a desktop PC cost 6700 ten years ago, and the same computing power cost 2200 three years ago, find the average rate of decrease per year. Assume a straight-line model.

Population Growth and Decline The graph shows the population P in a small industrial city from 1950 to 2000. The variable x represents the number of years since 1950. (a) What was the average rate of change of P between x=20 and x=40 ? (b) Interpret the value of the average rate of change that you found in part (a).