Problema Solution

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 6 consecutive free throws?

Answer provided by our tutors

We need to find value for x such that f(x) = 6.

That is:

1 + 1.6 ln (x+1) = 6

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click here to see the equation solved for x

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x = 22 days approximately

After 22 days of practice the basketball player can make an average of 6 consecutive free throws.