Question

Seth is deciding whether or not he should become a member of the YMCA to use their volleyball courts. The membership cost is $154. Members pay $5 to rent their volleyball courts. Non-members can rent the court also, but they have to pay $12 each time. How many times would seth need to rent the court in order for it to be cheaper to be a member than a non member? Seth set up an inequality to answer this question.
154 + 5x ≥ 12x
154 ≥7 x
22 ≥ x
X ≤ 22
Seth would need to rent the court at most 22 times for the membership to be cheaper than a non membership. Explain if Seth is correct. If he is not correct, explain why by setting up the correct inequality and solve it.

Answer 1

Seth is correct in his answer. He correctly set up the inequality 154 + 5x ≥ 12x, which represents the total cost of being a member (154 + 5x) being greater than or equal to the total cost of renting the court as a non-member (12x).

To solve this inequality, Seth subtracted 5x from both sides to get 154 ≥ 7x. Then he divided both sides by 7 to isolate x, which gave him 22 ≥ x. This means that Seth would need to rent the court at most 22 times for the membership to be cheaper than a non-membership.

So, Seth is correct in stating that if he rents the court at most 22 times, it would be cheaper for him to become a member of the YMCA.