Question

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

Answer 1

Answer:

Average rate of change = $\frac{2}{5}$

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 = $\frac{f(b)-f(a)}{b-a}$

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 = $\frac{32-14}{65-20}$

                                        = $\frac{18}{45}$

                                        = $\frac{2}{5}$

Therefore, average rate of change in the given interval is $\frac{2}{5}$ .