Question

You babysit for $50 dollars for the first three hours and then an extra $10 per hour

Answer 1

The ammount you earn can be describe the following way.

Let x be the number of hour you babysit. we know that for the first three hours you charge $50 and then you charge an extra $10 dollars per hour.

Then the amount you charge in total (that we are going to call y) is described by

`\begin{gathered} y=10(x-3)+50 \\ for \\ x>3 \end{gathered}`

Notice that we restrict the value of x to match the description of the problem (we only charge the extra $10 if we babysit more than three hours).

With this equation we can know how much to charge for five hours (since, in this case x=5>3).

`\begin{gathered} y=10(5-3)+50 \\ =10(2)+50 \\ =20+50 \\ =70 \end{gathered}`

Then, for five hours you would earn $70.