Question

Jim has to choose between two gym membership plans. Plan A: $50 monthly membership fee and $10 per visit. Plan B: $25 one time membership fee and $15 per visit. How many visits must Jim make to make Plan A the cheaper option?

How many visits for them to cost the same?

Answer 1

Plan B is better than Plan A as B is cheaper than A.

Since we have given that

Plan A consist of :

Amount for monthly membership fee = $50

Cost per visit = $10

Equation of total fees would be

Plan B consist of :

Amount for monthly one time membership fee = $25

Cost per visit = 15

Equation of total fees would be

Here , x denotes the number of visits.

Let us suppose x = 1

Then , fees for plan A would be

Fees for plan B would be

Hence, Plan B is better than Plan A as B is cheaper than A.