Question

Given the function defined in the table below, find the average rate of change, in simplest form, or the function over the interval 20

Answer 1

Average rate of change = 0.4

Explanation:

Average rate of change of a function in the interval [a, b] is defined by the formula,

Rate of change =
`(f(b)-f(a))/(b-a)`

From the table attached,

Rate of change of the function in the interval 20 ≤ x ≤ 40 will be

=
`(f(40)-f(20))/(40-20)`

=
`(24-16)/(40-20)`

=
`(8)/(20)`

=
`(2)/(5)`

= 0.4

Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4