Question

A two-year prepaid membership at Gym A costs $250 for the first year plus $19 per month for the second year. A two-year prepaid membership at Gym B costs $195 for the first year plus $24 per month for the second year. Leah says the cost for both gym memberships will be the same after the 11th month of the second year. Do you agree? Explain.

Answer 1

Answer: no, the cost for both gym memberships will not be same.

Gym A after 23 months = $687 and gym B = $747

Step-by-step explanation:

12 + 11 = 23 months

A = 19x + 250

(19*23+ 250 = $687

B = 24x + 195

(24*23+ 195 = $747

Answer 2

Yes it is the 11th month of the second year.

Explanation: Setting the 2 equal to eachother gives 250+19x = 195+ 24x
Solving that equation gives us 55=5x or x=11