Question

Given the function defined in the table below, find the average rate of

change, in simplest form, of the function over the interval
20 < x < 65.

Answer 1

Average rate of change =
`(2)/(5)`

Explanation:

Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,

Average rate of change =
`(f(b)-f(a))/(b-a)`

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 =
`(32-14)/(65-20)`

=
`(18)/(45)`

=
`(2)/(5)`

Therefore, average rate of change in the given interval is
`(2)/(5)` .