Seth is not correct in his inequality.
Let's assume Seth rents the court x times.
For a member, the cost of renting the court would be $5 per rental, so the total cost for x rentals would be 5x.
For a non-member, the cost of renting the court would be $12 per rental, so the total cost for x rentals would be 12x.
Seth wants to find out when it is cheaper to be a member than a non-member, so we can set up the following inequality:
5x ≤ 154 + 12x
By subtracting 12x from both sides, we get:
-7x ≤ 154
To isolate x, we divide both sides by -7, remembering to change the inequality sign since we're dividing by a negative number:
x ≥ -154/7
Since Seth cannot rent the court a negative number of times, we discard the negative solution.
Therefore, the correct inequality is:
x ≥ 22
This means Seth would need to rent the court at least 22 times for the membership to be cheaper than a non-membership.
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 time how 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 correct explain why by setting up the correct inequality and solve it
1 answer