Answer:
[tex]m = 24.2[/tex]
Step-by-step explanation:
The value of each extreme is presented below:
[tex]f(0) = \frac{1}{2}\cdot 3^{0}[/tex]
[tex]f(0) = 0.5[/tex]
[tex]f(5) = \frac{1}{2}\cdot 3^{5}[/tex]
[tex]f(5) = 121.5[/tex]
The average rate of change of the function is:
[tex]m = \frac{121.5 - 0.5}{5-0}[/tex]
[tex]m = 24.2[/tex]
