Seth is deciding whether or not he should become a member of the YMCA to use their volleyball courtsThe membership cost is $154Members pay $5 to rent the volleyball courtsNon-members can rent the court also, but they have to pay $12.each timehow many times would Seth need to rent the court in order for it be cheaper to be a member than a non member?

Seth set up an Inequality to answer this question. 154+ 5x 2 12x

154 27 x

222 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 correctexplain why by setting up the correct inequality and solve it

1 answer

Seth is not correct in his inequality setup.

To determine when it would be cheaper for Seth to be a member rather than a non-member, we need to compare the costs of renting the court as a member and as a non-member.

As a member, Seth would pay a membership cost of $154, plus $5 each time he rents the court. This can be represented as: 154 + 5x.

As a non-member, Seth would pay $12 each time he rents the court, without any membership cost. This can be represented as: 12x.

To find out when it would be cheaper for Seth to be a member, we need to set up an inequality:

154 + 5x < 12x

Simplifying the inequality, we get:

154 < 7x

Dividing both sides of the inequality by 7, we get:

22 < x

Therefore, Seth would need to rent the court more than 22 times for the membership to be cheaper than a non-membership.