Answer:
Average rate of change = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
We have to find the average rate of change in the interval 20 ≤ x ≤ 65
From the table attached,
f(65) = 32
f(20) = 14
Average rate of change = [tex]\frac{32-14}{65-20}[/tex]
= [tex]\frac{18}{45}[/tex]
= [tex]\frac{2}{5}[/tex]
Therefore, average rate of change in the given interval is [tex]\frac{2}{5}[/tex] .
