Seth is correct. To determine if becoming a member is cheaper than being a non-member in terms of court rental fees, we need to compare the total cost for both options.
For members, the cost is $138 for the membership fee plus $7 for each court rental. So, the total cost for members is given by the expression: 138 + 7x, where x is the number of times Seth rents the court.
For non-members, the cost is $9 for each court rental. So, the total cost for non-members is given by the expression: 9x, where x is the number of times Seth rents the court.
To find the number of times Seth would need to rent the court for the membership to be cheaper than being a non-member, we set up the inequality: 138 + 7x < 9x.
Now, let's solve the inequality to find the value of x:
138 + 7x < 9x
Subtract 7x from both sides:
138 < 2x
Divide both sides by 2:
69 < x
Since x represents the number of times Seth rents the court, we can conclude that Seth would need to rent the court at most 69 times for the membership to be cheaper than a non-membership.
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Questions
Seth is deciding whether or not he should become a member of the YMCA to use their volleyball courtsThe membership cost is $138 Members pay $7 to rent the volleyball courtsNon-members can rent the court also, but they have to pay $9 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.
138 + 7x => 9x
138 => 2x
69 => x
x <= 69
Seth would need to rent the court at most 69 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.
1 answer