Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym B and Gym A to be the same for members?

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Answer 1 · 2018-07-01T12:38:31

See process below

Gym A: Total cost #y=75+35.75x#

Gymn B total cost #y=164+17.95x#

in both cases x means number of months

We are going to solve the system of equations

#75+35.75x=164+17.95x#

#35.75x-17.95x=164-75#

#x(17.8)=89#

#x=89/17.8=5#

In five months the cost of both Gym's will be equal and Gym B will be cheaper than A
This graph clarify situation
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