Question

Erin is considering joining one of 2 clubs. Club A has no registration fee, but charges $105 per month. Club B charges members $80 per month plus a one-time registration fee of $375. For how many months is club A the cheaper option? Use system of equations

Answer 1

4 months

Explanation:

Club A

registration fee: $0

monthly fee: $105

After every month, the total cost increases by $105.

month 0: $0

month 1: $105

month 2: $210

month 3: $315

month 4: $420

month 5: $525

month 6: $630

Club B

registration fee: $375

monthly fee: $80

Notice how Club B's total reaches Club A's total after 2 months.

month 0: $375

month 1: $455

month 2: $535

month 3: $615

month 4: $695