At a local fitness center, members pay a $10 membership fee and $3 for each aerobics class. Nonme

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At a local fitness center, members pay a $10 membership fee and $3 for each aerobics class. Nonmembers pay $5 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?

Set up the cost functions where x is the number of aerobics classes:

• Members: C(x) = 10 + 3x
• Non-members: C(x) = 5x

Set them equal to each other
10 + 3x = 5x

Subtract 3x from both sides:
2x = 10

Divide each side by 2
x = 5 classes