Answer:
A. 49
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 = (f(x2) - f(x1))/(x2 - x1)](https://img.qammunity.org/2021/formulas/mathematics/college/cxhotvg4p25h45o87be7fvwcu76dc3up9d.png)
x2 = 5
x1 = 3
f(x2) = f(5) = 125
f(x1) = f(3) = 27
Thus,
![Average rate of change = (125 - 27)/(5 - 3)](https://img.qammunity.org/2021/formulas/mathematics/college/jnmw88sms91k5xug898qesu4njc7hzvc45.png)
![= (98)/(2)](https://img.qammunity.org/2021/formulas/mathematics/college/nk0vfpo4d7vet0150sya0zrj2l5f4sl2f4.png)
Average rate of change = 49
Average rate of change of the given table values representing an exponential function is A. 49.