Question

What is the average rate of change for this function for the interval from x=3 to x=5?

Answer 1

Answer:

A. 49

Step-by-step explanation:

The average rate of change for the interval ranging from x = 3 to x = 5 for the given function represented in the table above can be calculated using:

$Average rate of change = \frac{f(x2) - f(x1)}{x2 - x1}$

x2 = 5

x1 = 3

f(x2) = f(5) = 125

f(x1) = f(3) = 27

Thus,

$Average rate of change = \frac{125 - 27}{5 - 3}$

$= \frac{98}{2}$

Average rate of change = 49

Average rate of change of the given table values representing an exponential function is A. 49.