Set up and solve a system of equations to solve the problem. casey wants to buy a gym membership. one gym has a $245 joining fee and costs $40 per month. another gym has no joining fee and costs $75 per month. when would casey pay the same amount to be a member of either gym? how much would he pay? f(t) = + t g(t) = t after months, casey would have paid $ at either gym.

7 months

Step-by-step explanation:

To find the amount the gym memberships will be the same, write a system of equations and find their intersection point. The intersection point will be the two equations equal to each other.

Gym 1 charges a one time joining fee of $245 and then adds to that $40 a month or 40m. So together the cost is 245 + 40m.

Gym 2 charges $0 or no joining fee. Then adds $75 per month or 75m.

So to find when they are equal, then 75m = 245 + 40m. Solve for m.

75m = 245 + 40m

35m = 245

m = 7