Question

Question #91e19

Answer 1

`f'(8) = -3.4`

Explanation:

Since `f(x)` is the temperature per month, this means that we need to find the average rate of change per month, `f'(x)`. This is the derivative of `f(x)`.

`f'(x) = 2*-1.4*x^1 + 1*19*x^0 + 0*1.7*x^-1`
`f'(x) = -2.8x+19`

Since August is the 8th month of the year, the average rate of change of temperature in that month is `f'(8)`.
`f'(8) = -2.8(8) + 19 = -3.4`

I don't know the units that you are using to measure the temperature, so I can't give a unit for this answer.