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Use the Quadratic equation to determine the last day that cowboy hats will be sold.

cowboy hats = -0.4x^2 + 20x + 10

Please help me work through this.

  • Algebra -

    assuming x is the number of days,
    h(x) is the number of hats sold on day x,
    h=0 means no hats sold that day, because all were sold, so that is the last day.

    h(x) = 0 when x = [-20 +/- sqrt(400+16)]/-.8
    x = 50.5

    so, some time during the 51st day sales went to zero.

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