Question

The function f(x) = 1 + 1.6 ln (x + 1) models the average number of free-throws a basketball player can make consecutively during practice as a function of time, where x is the number of consecutive days the basketball player has practiced for two hours. After how many days of practice can the basketball player make an average of 9 consecutive free throws? 12) A) 517 days B) 147 days C) 149 days D) 519 days

Answer 1

C) 149 Days

Explanation:

The formula is f(x) = 1.6 ln (x+1)

so we now that f(x) = 9

and we need to solve this for x

Since we have a natural log we need to rake an anti log.

The equation will be as follows

`x = e^{(9-1)/(1.6) } - 1`

x = 147.41

Since it is greater than 147 hence 149 is the right answer.