A full-year membership to a gym costs $325 upfront with no monthly charge. A monthly membership costs $100 upfront and $30 per month For what numbers of months is it less expensive to have a monthly membership?

It would be less expensive if they are going for up to 7 months a year.

In order for those to be equal, they would need to go for 7.5 months. Since you can only round for months, I would say up to 7.

Equation: $100+$30x = $325.