Question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 16, is less than or equal to, x, is less than or equal to, 4016≤x≤40.
xx f, of, xf(x)
44 77
1616 1010
2828 1313
4040 1616
5252 1919
6464 2222

Answer 1

Average rate of change = [f(40) − f(16)] / (40 − 16) = (16 − 10) / 24 = 6/24 = 1/4.