Question

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)

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