Question

This table shows values represented by an exponential function.

What is the average rate of change for this function for the interval from x= 2
to x = 4? A. 55
B. 36.5
C. 27.5
D. 18

Answer 1

It’s 27.5

Explanation:

I know, cause I got it right on a p e x

The real mathematician is the guys answer above mine! =)

Answer 2

`a = 2 , f(2)=9`

`b = 4 , f(4)=64`

And replacing the data into the average rate formula we got:

`m = (64-9)/(4-2)= 27.5`

And then the best answer for this case would be:

C. 27.5

Explanation:

For this cae we know that the average rate of change of a function is given by this general expresion:

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

For this special case from the info of the table we have:

`a = 2 , f(2)=9`

`b = 4 , f(4)=64`

And replacing the data into the average rate formula we got:

`m = (64-9)/(4-2)= 27.5`

And then the best answer for this case would be:

C. 27.5