SOLUTION: Q18. 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

Question 1007145: Q18. 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?
a. 24 days
b. 80 days
c. 22 days
d. 78 days
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
We need to find x when this function
f(x) = 1 + 1.6 ln (x+1)
equals 6. So set it equal to 6 and solve
f(x) = 1 + 1.6 ln (x+1) = 6
1.6 ln (x+1) = 5
ln (x + 1) = 3.125
Now exponentiate and get
x + 1 = 22.76
x = 21.76 or about 22 days
Choice C.
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