Answer:
5 workouts should be performed to equalize the costs between both gyms.
Step-by-step 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.
