Question

At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor,

membership is $45 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answer 1

2

Explanation:

y = mx + b

y = total cost of the gym

m = cost per personal session

x = number of sessions

b = cost of one month

Silver gym:

y = 30x + 25

Fit Factor:

y = 20x + 45

Set them Equal to each other:

30x + 25 = 20x + 45 (get Xs on one side by subtracting 20x)

10x + 25 = 45 (isolate x by subtracting 25 from both sides)

10x = 20 (divide both sides by 10)

x = 2 personal training sessions to make the cost equal