Question

Solving a word problem using a two-step linear inequality

Reuben wants to rent a boat and spend at most $52. The boat costs $6 per hour, and Reuben has a discount coupon for $8 off. What are the possible numbers
of hours Reuben could rent the boat?
User for the number of hours.
Write your answer as an inequality solved for t.

Answer 1

t is less than or equal to 10

Explanation:

At most means less than or equal to. The boat costs 6 an hour, so, 6t. He has a $8 off coupon, so, 6t-8 is less than or equal to 52. Add 8 on both sides and then divide by 6 to isolate t. t is less than or equal to 10 hours.