Question

Gold’s gym charges $30 membership fee plus $3 for each workout, while Titletown charges $40 membership fee plus $1 for each workout.

Let x = number of workouts
Let y = total costs

Gold's Gym: y = 30 + 3x
Titletown Fitness: y = 40 + x

How many workouts does a person have to do until the total costs are equal?

Answer 1

5 workouts should be performed to equalize the costs between both gyms.

Explanation:

Given that Gold’s gym charges $ 30 membership fee plus $ 3 for each workout, while Titletown charges $ 40 membership fee plus $ 1 for each workout, to determine how many workouts does a person have to do until the total costs are equal, the following calculation must be performed:

Gold's Gym: y = 30 + 3x

Titletown Fitness: y = 40 + x

Gold's Gym: y = 30 + 3x2 = 36

Titletown Fitness: y = 40 + 2 = 42

Gold's Gym: y = 30 + 3x3 = 39

Titletown Fitness: y = 40 + 3 = 43

Gold's Gym: y = 30 + 3x4 = 42

Titletown Fitness: y = 40 + 4 = 44

Gold's Gym: y = 30 + 3x5 = 45

Titletown Fitness: y = 40 + 5 = 45

Thus, 5 workouts should be performed to equalize the costs between both gyms.