Question

This table shows values represented by an exponential function.

Answer 1

Answer:

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

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

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

$m = \frac{64-9}{4-2}= 27.5$

And then the best answer for this case would be:

C. 27.5

Step-by-step explanation:

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

$m = \frac{f(b) -f(a)}{b-a}$

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:

$m = \frac{64-9}{4-2}= 27.5$

And then the best answer for this case would be:

C. 27.5