Question

Finbar invested money in a transportation stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of days. Find the approximate average rate of change from day 11 to day 15.

A.0.013
B.4
C.76.8
D.307.2

Answer 1

C.76.8 because if you multiply over 6 you will get that answer

Answer 2

Answer: C.76.8

Explanation:

We know that the average rate of change of any function f(x) from x=a to x= b is given by :-

`(f(b)-f(a))/(b-a)`

Given : Finbar invested money in a transportation stock whose growth is modeled by the function
`f(x) = 0.01(2)^x`, where x represents number of days.

Then , the average rate of change of any function f(x) from day 11 to day 15 is given by :-

`(f(15)-f(11))/(15-11)\\\\=( 0.01(2)^(15)- 0.01(2)^(11))/(4)\\\\=(0.01(32768)-0.01(2048))/(4)\\\\=(327.68-20.48)/(4)\\\\=76.8`

Hence, the approximate average rate of change from day 11 to day 15 = 76.8

Thus , the correct answer is option C. 76.8