91Ó°ÊÓ

We have given that Caleb charges $\$32$per hour for pet sitting.

His monthly expenses are $\$272$.

We have to find that hoe many hours he must have to work to get a profit of at least $\$800$per month.

Let he must have to work for $n$hours.

Also from given information, we have

$\$32$times the number of working hours minus $\$2,272$is at least $\$800$.

From this statement we have the following inequality :-

$32n-2272â‰\yen 800$

Add $2272$on both sides of the inequality, then we have :-

$$\begin{gathered} 32n-2272+2272â‰\yen 800+2272 \\ ⇒32nâ‰\yen 3072 \end{gathered}$$

Now divide both sides of the inequality by $32$, then we have :-

$$\begin{gathered} \frac{32n}{32}â‰\yen \frac{3072}{32} \\ ⇒nâ‰\yen 96 \end{gathered}$$

We find that $nâ‰\yen 96$, where $n$is the number of working hours.

So we can conclude that :-

He must have to work for $96$hours to earn a profit of at least $\$800$.