Question

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.
y = 7.5x

y = 5.5x + 10

1. Substitute: 7.5x = 5.5x + 10

How many classes could Anna take so that the total cost for the month would be the same?



What is the total monthly cost when it is the same for both gyms?

Answer 1

Just do what you said (subsitute) and solve
x=number of classes
7.5x=5.5x+10
subtract 5.5x from both sides
2x=10
divide 2
x=5
5 classes

to find how much it costs, subsitute 5 for x in any equation

y=7.5(5)
y=37.5


total cost is $37.5 per month

Answer 2

Answer:

just do what you said (subsitute) and solve

x=number of classes

7.5x=5.5x+10

subtract 5.5x from both sides

2x=10

divide 2

x=5

5 classes

to find how much it costs, subsitute 5 for x in any equation

y=7.5(5)

y=37.5

total cost is $37.5 per month

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