Question

When Josh babysits, he chargers a flat fee of $14 plus an hourly rate of $9. How long would Josh need to babysit if he wants to earn $86 in one night?

Answer 1

`(36)/(7)`hours

Explanation:

First let's get the flat fee of 14 out of the way, because he wants to earn 86 dollars and the 14 dollar fee is the y intercept.

`86-14 = 72`

We would then divide 72 by the slope (14 per hour) to see how many hours he has to work:

`72/14 \approx5.14285714286`

I would just simplify because this decimal isn't exact

`72/14 = 36/7`

So 36/7 hours