SOLUTION: 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 num

Algebra ->  Finance -> SOLUTION: 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 num      Log On


   

Question 1089078: 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 10 consecutive free throws?
thank you for help
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+1+%2B+1.5%2Aln%28+x+%2B+1+%29+
given:
+f%28x%29+=+10+
+10+=+1+%2B+1.5%2Aln%28+x+%2B+1+%29+
+9+=+1.5%2Aln%28+x+%2B+1+%29+
+6+=+ln%28+x+%2B+1+%29+
Rewrite this as the inverse function:
+e%5E6+=+x+%2B+1+
+x+=+e%5E6+-+1+
+x+=+403.429+-+1+
+x+=+402+ approximately
check the math & get a 2nd opinion if needed