Question

Jeff is going skiing. It costs $65 to rent skis plus $10 an hour to ski. He doesn't want to spend more than $120 and you have to pay for a whole hour even if you don't ski the whole hour. He wants to know how long can he ski. Write and solve an inequality to answer Jeff's question.
Responses
A 65 + 10x ≤ 120; He can ski 5 hours.65 + 10x ≤ 120; He can ski 5 hours.
B 65 + 10x ≤ 120; He can ski 6 hours.65 + 10x ≤ 120; He can ski 6 hours.
C 65 + 10x ≥ 120; He can ski 5 hours.65 + 10x ≥ 120; He can ski 5 hours.
D 65 + 10x ≥ 120; He can ski 6 hours.65 + 10x ≥ 120; He can ski 6 hours.

Answer 1

Set x = hours. Cost: 65 + 10x. He doesn't want to spend more than 120, so 65 + 10x ≤ 120. Solve: 10x ≤ 55 → x ≤ 5.5. Since he must pay whole hours, the maximum whole number of hours is 5. Answer: A.