Question

Find the average rate of change of k(x)=2x+15 over the interval [13,17].

Answer 1

average rate of change = 2

Explanation:

the average rate of change of k(x) in the closed interval [ a, b ] is

`(f(b)-f(a))/(b-a)`

here [ a, b ] = [ 13, 17 ] , then

f(b) = f(17) = 2(17) + 15 = 34 + 15 = 49

f(a) = f(13) = 2(13) + 15 = 26 + 15 = 41

average rate of change =
`(49-41)/(17-13)` =
`(8)/(4)` = 2