Answer:
7.5
Step-by-step explanation:
The given exponential function is
[tex]f(x) = {2}^{x} + 3[/tex]
The average rate of change over a≤x≤b is given by;
[tex] \frac{f(b) - f(a)}{b - a} [/tex]
This implies that the average rate of change between the values 1 ≤ x ≤ 5 is
[tex] \frac{f(5) - f(1)}{5 - 1} [/tex]
We evaluate to get:
[tex]\frac{ {2}^{5} + 3 - {2}^{1} - 3}{4} = \frac{30}{4} = \frac{15}{2} = 7.5[/tex]
