Answer:
15
Step-by-step explanation:
To find the average rate if change of the exponential function between the interval [2, 6], use the formula, [tex] m = \frac{p(b) - p(a)}{b - a} [/tex]
Where,
[tex] a = 2, p(2) = 4 [/tex]
[tex] b = 6, p(6) = 64 [/tex]
Plug in the above values into the formula:
[tex] m = \frac{64 - 4}{6 - 2} [/tex]
[tex] m = \frac{60}{4} [/tex]
[tex]m = 15[/tex]
Average rate of change is 15
