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:
[tex] Average rate of change = \frac{f(x2) - f(x1)}{x2 - x1} [/tex]
x2 = 5
x1 = 3
f(x2) = f(5) = 125
f(x1) = f(3) = 27
Thus,
[tex] Average rate of change = \frac{125 - 27}{5 - 3} [/tex]
[tex] = \frac{98}{2} [/tex]
Average rate of change = 49
Average rate of change of the given table values representing an exponential function is A. 49.
