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    Mathematics
    Grade10
    Easy

    Question

    Mia makes jewellery to sell at an art fair. Her revenue, in dollars, can be modelled by the function f(x) = x2 - 10x + 3 , where x represents the number of items she makes and sells. The cost of her supplies can be modelled by the function g(x) = x + 7. Select the function that models Mia’s profit.

    1. x2 - 9x + 10
    2. x2 + 4x - 18 
    3. x2 - 11x - 4
    4. -x2 + 11x + 4

    hintHint:

    Profit = Revenue – Cost
    Profit = f(x) - g(x)

    The correct answer is: x2 - 11x - 4

      Given revenue, f(x) = x2 -10x + 3 and cost g(x) = x + 7
      Profit = Revenue – Cost
      Profit = f(x) - g(x) = (x2 - 10x + 3) - (x + 7) = x2 - 10x + 3 - x - 7
      Profit = x2 - 11x - 4

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