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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 :

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

Answer: C.76.8

Step-by-step explanation:

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

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given : Finbar invested money in a transportation stock whose growth is modeled by the function [tex]f(x) = 0.01(2)^x[/tex], 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 :-

[tex]\dfrac{f(15)-f(11)}{15-11}\\\\=\dfrac{ 0.01(2)^{15}- 0.01(2)^{11}}{4}\\\\=\dfrac{0.01(32768)-0.01(2048)}{4}\\\\=\dfrac{327.68-20.48}{4}\\\\=76.8[/tex]

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

Thus , the correct answer is option C. 76.8

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