Question

Omar wants to rent a boat and spend at most $40. The boat costs $6 per hour, and Omar has a discount coupon for $8 off. What are the possible numbers of hours Omar could rent the boat?

Use t for the number of hours.
Write your answer as an inequality solved for t.

Answer 1

At most you can spend 8. 8 x 6$/hr=48-8(coupon)=40

Answer 2

8 ≥ t

Explanation:

The inequality that best models the situation is 40 ≥ 6t - 8, since Omar wants to spend at most (i.e., no more than) $40, the boat costs $6/hr, and he has a discount coupon for $8 off.

Now we can solve for t:

Step 1: Add 8 to both sides:

(40 ≥ 6t - 8) + 8

48 ≥ 6t

Step 2: Divide both sides by 6 to solve for t:

(48 ≥ 6t) / 6

8 ≥ t

Thus, Omar can rent the boat for no more than 8 hours in order to not exceed his $40 spending limit.