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=7.5x𝑦=7.5𝑥 y=5.5x+10𝑦=5.5𝑥+10 Substitute: 7.5x=5.5x+107.5𝑥=5.5𝑥+10 How many classes could Anna take so that the total cost for the month would be the same?5 classesWhat is the total monthly cost when it is the same for both gyms?
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=7.5x𝑦=7.5𝑥 y=5.5x+10𝑦=5.5𝑥+10 Substitute: 7.5x=5.5x+107.5𝑥=5.5𝑥+10 How many classes could Anna take so that the total cost for the month would be the same?5 classesWhat is the total monthly cost when it is the same for both gyms?
Solution
To find the total monthly cost when it is the same for both gyms, we need to substitute the number of classes (x) into either of the original equations. Let's use the first one: y = 7.5x.
If Anna takes 5 classes, then the total cost would be:
y = 7.5 * 5 = $37.50
So, the total monthly cost when it is the same for both gyms is $37.50.
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