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

Discussion in 'Calculator Requests' started by math_celebrity, Jan 10, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    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
     

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