Question

A full-year membership to a gym costs $325 up front, with no monthly charge. A monthly membership costs $100 up front and $30 per month. For how many months is it less expensive to have a monthly membership?

Answer 1

If you call your number of months \(x\), you can equate one to the other.

Answer 2

\(325=100 + 30x\)

Then solve for \(x\).

Answer 3

Number of months = m
Yearly: 325
Monthly: 100 + 30m
100 + 30m = 325
30m = 225
m = 7.5