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?

5
classes

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

$

Answer 1

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

5 classes

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

$37.50

Step-by-step explanation:

Answer 2

The number of classes Anna could take so the total cost for the month would be the same is 5.

The total monthly cost when it is the same for both gyms would be $37.50.

What is the number of classes that the total cost would be the same?

When the total cost is the same, both equations for the gym would be equal to each other.

7.5x = 5.5x + 10

In order to determine the value of x, take the following steps:

Combine similar terms

7.5x - 5.5x = 10

Add similar terms together

2x = 10

Divide both sides by 2

x = 5

Total cost = 7.5 x 5 = $37.50

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