Question

given the funcrion defined in the table below find the average rate of change in simplest form of the function over the interval 3

Answer 1

The expression to calculate the average rate in the interval 3$\frac{f(5)-f(3)}{5-3}$From the table f(5)=40 and f(3)=10.

$\begin{gathered} \frac{f(5)-f(3)}{5-3}=\frac{40-10}{2} \\ =\frac{30}{2} \\ =15 \end{gathered}$

Thus, the average rate of change in the function over the interval 3 to 5 is 15.