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Math Help - functions and graphs problem solving

  1. #1
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    Exclamation functions and graphs problem solving

    it costs a bicycle shop (432+87X) dollars to make x bicycles and each bicyle can be sold for (240-3x) dollars. PLEASE SHOW ALL WORKING OUT.

    A) determine an expression for the total profit gained from selling x bicycles.
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  2. #2
    Junior Member piglet's Avatar
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    Quote Originally Posted by Tessarina View Post
    it costs a bicycle shop (432+87X) dollars to make x bicycles and each bicyle can be sold for (240-3x) dollars. PLEASE SHOW ALL WORKING OUT.

    A) determine an expression for the total profit gained from selling x bicycles.

    Are you sure that you have transcribed that question correctly...?
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  3. #3
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    As the question states:

    Profit = price - cost

    (-3x+240)-(87x+432)
    = -3x-87x+240-432
    =-90x-172
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  4. #4
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    i copied the question exactly right.

    but in the back of the book, the answer for the profit is:
    P=-3x^2+153x-432
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  5. #5
    MHF Contributor undefined's Avatar
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    Quote Originally Posted by sedemihcra View Post
    As the question states:

    Profit = price - cost

    (-3x+240)-(87x+432)
    = -3x-87x+240-432
    =-90x-172

    This is almost right, but (240-3x) represents the price of one bicycle, so the total price should be x*(240-3x).

    p(x) = x(-3x+240)-(87x+432)

    I'm guessing that will result in the book answer.
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