Juan wants to rent a boat and spend at most $21. The boat cost $6 per hour, and Juan has a discount coupon for $9 off. What are the possible numbers of hours Juan could rent the boat?

Question

Use T for the numbers of hours.

Write your answer as an inequality solved for T.

Answer 1

Hello Serenity! I'm happy to help.

First let's think about how to set up the inequality.

Amount Spent ≤ 21

Now we have to figure out what his amount spent is. It would be $6 times the number of hours he rents the boat for (T), minus $9. So the equation would look like this:

6T - 9 ≤ 21

Now we have to solve for T:

6T ≤ 30 (I added 9 to both sides)

T ≤ 5 (I divided both sides by 6)

So, Juan can rent the boat for up to 5 hours to spend at most $21.

I hope this helps! Best of luck with your studies.