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

Alright!

As usual, x is equal to our time value, which in this case is the number of consecutive days the player he has practised for two hours. Now, they do give a large hint here for the question.

How many days can this basketball Playin' fool make an average of 9 consecutive free throws?

Well...

They tell you!

Let's plug in 9 for the value of x, and solve this here function -

f(9) = 1 + 1.5 (9 + 1).

f(9) = 1 + 1.5 * 10.

f(9) = 1 + 15.

f(9) = 16

It will take 16 days of practise!