Problem

Marketing—Internet Advertising: A report by the Interactive Advertising Bureau claims that...

Marketing—Internet Advertising: A report by the Interactive Advertising Bureau claims that the growth of advertising on the Internet has begun to outpace the growth of TV advertising. (Source: TechCrunch.) The annual amount spent on Internet advertising in the United States from 2000 to 2010 can be modeled by

f(x) = 4.66(1.12)x 0 ≤ x ≤ 10

where x represents the number of years since 2000 and f(x) represents the annual amount spent on Internet advertising, measured in billions of dollars. (Source: U.S. Statistical Abstract.)

(a) Evaluate and interpret f(2).


(b) Compute the slope of the secant line of f for x = 2 and Δx = 5 and interpret.


(c) From analyzing the exponential model, is the amount spent on Internet advertising increasing or decreasing? Explain.

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