Question

What is the answer? Please help!

Answer 1

0.61

Explanation:

The average rate of change of H(s) in the closed interval [ a, b ] is

`(H(b)-H(a))/(b-a)`

here [ a, b ] = [ 80, 100 ]

H(b) = H(100)

= 0.003 × 100² + 0.07 × 100 - 0.027

= 30 + 7 - 0.027 = 36.973

H(a) = H(80)

= 0.003 × 80² + 0.07 × 80 - 0.027

= 19.2 + 5.6 - 0.027 = 24.773

Hence

average rate of change =
`(36.973-24.773)/(100-80)` =
`(12.2)/(20)` = 0.61