Question

HURRY IM BEING TIMED! The line of best fit for this scatter plot shows the relationship between the average temperature and the monthly electricity bill at Jenny’s house.

Answer 1

The electricity bill will be about $200 when the average temperature reaches 100°F.

Answer 2

`y = (11)/(8)x + 50`

Explanation:

Given

See attachment for plot

Required

The line of best fit

From the attached plot, we have:

`(x_1,y_1) = (0,50)`

`(x_2,y_2) = (80,160)`

Calculate the slope (m)

`m = (y_2 - y_1)/(x_2 -x_1)`

So, we have:

`m = (160 - 50)/(80-0)`

`m = (110)/(80)`

`m = (11)/(8)`

The line of best fit is then calculated as:

`y = m(x - x_1) + y_1`

This gives:

`y = (11)/(8)(x - 0) + 50`

`y = (11)/(8)x + 50`