Question

You are signing up for a new gym on New Year's Day. Two gyms memberships have different payment plans. Gym A has a $60 signup fee and a monthly fee of $10. Gym B has a signup fee of $20 and a monthly fee of $15. At which month would the membership costs be the same?

Answer 1

Answer: August or the 8th month

Step-by-step explanation:

Assuming the month that the costs will be the same is x.

Gym A cost function will be = 60 + 10x

Gym B cost function will be =  20 + 15x

The formula will therefore be;

60 + 10x = 20 + 15x

60 - 20 = 15x - 10x

40 = 5x

x = 8

8th month is August.