The function f (x) = 1 + 1.5 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? (Hint: replace f (x) by 9 and solve)

Question

15 January, 13:40

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Morgan Barnes · Answer 1

9 = 1 + 1.5 ln (x + 1)

8 = 1.5 ln (x + 1)

16/3 = ln (x + 1)

e^ (16/3) = x + 1

x = e^ (16/3) - 1

x = 206.127 days of practice