Question

Health club A charges $60 yearly enrollment fee and $2 per visit. Health club B charges $20 yearly enrollment fee and &4 per visit. What is the number of visit at which both clubs cost the same?

Answer 1

With 20 visits in one year the cost of the clulbs are equal.

Explanation:

On the club A the amount paid in function of the number of visits can be expressed as bellow:

cost = 60 + 2*visits

On the club B the amount paid in function of the number of visits can be expressed as:

cost = 20 + 4*visits

In order for the cost to be the same we must find a value of visits that makes them equal, so we have:

60 + 2*visits = 20 + 4*visits

2*visits - 4*visits = 20 - 60

-2*visits = -40

visits = 20

With 20 visits in one year the cost of the clulbs are equal.