Question

PLEASE PLEASE PLEASEE PLEASEEEEESE HELPME!?!?!? IM SO BAD AT MATH PLEASE HELP!!!

Find the average rate of change from x = 7 to x = 14 for the function f(x) = 0.01(2)x and select the correct answer below.
Select one:
a. 23.22
b. 35.84
c. 128
d. 163.84

IK THE ANSWER IS NOT D. 163.84

Answer 1

For this case we have the following function:

`f (x) = 0.01 * (2) ^ x`
By definition, the average rate of change is given by:

`AVR = (f(x2) - f(x1))/(x2 - x1)`
We evaluate the function for the given values:
For x = 7:

`f (7) = 0.01 * (2) ^ 7 f (7) = 1.28`
For x = 14:

`f (14) = 0.01 * (2) ^ {14}  f (14) = 163.84`
Then, replacing values we have:

`AVR = (163.84 - 1.28)/(14 - 7)`

`AVR = 23.22`
Answer:
the average rate of change from x = 7 to x = 14 is:
a. 23.22