Question

A company begins a radio advertising campaign in New York City to market a new CD-ROM video game. The percentage of the target market that buys a game is given by the function f(t)=100(1-e^-0.05t), where T is the number of days of the campaign and f(t) is a percent. Find the percentage of the target market that buys a game after a 10 day campaign

Answer 1

39.35%

Explanation:

The percentage of the target market that buys the game is given by the function
`f(t) =100(1-e^(-0.05t) )` ........ (1), where t is the number of days of the campaign and f(t) is the percent.

Now, we have to find the percentage of the target market that buys the game after a 10 days campaign.

Now, putting t = 10 days in the equation (1), we get the percentage as

`f(10) = 100(1-e^(-0.05 * 10) )= 100 * 0.3934 = 39.35`% (Approximate) (Answer)