Question

The variable h represents the number of hours spent doing yard work and the variable d represents the amount of money earned how many hours spent doing yard work and the variable d represents the amount of money earned how many hours in all will it take Whitney to earn 15$

Answer 1

`4(1)/(11)` hours

Step-by-step explanation:

Given

See attachment for graph

First, we determine the equation of the graph.

Pick any two points from the graph

`(h_1,d_1) =(18,168)`

`(h_2,d_2) =(36,366)`

Calculate the slope (m)

`m = (d_2 - d_1)/(h_2 -h_1)`

This gives:

`m = (366 - 168)/(36 -18)`

`m = (198)/(18)`

`m = 11`

The equation is then calculated as:

`d = m(h - h_1) + d_1`

This gives:

`d = 11(h - 18) + 168`

Open bracket

`d = 11h - 198 + 168`

`d = 11h-30`

So, the number of hours to earn $15 is:

`d = 11h-30`

`15 = 11h -30`

Collect like terms

`11h = 15 + 30`

`11h = 45`

Solve for h

`h = (45)/(11)`

`h = 4(1)/(11)`