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A)Use the quadratic equation: Tickets=-0.2^2+12x+11, to determine the last day the that tickets will be sold.(Note: write answer in terms of the number of days after ticket sales begin, x=1 is the day tickets go on sale)
B)Will tickets peak or be at a low during the middle of the sale? How do you know?

  • math -

    I believe that there has to be another part to this question.
    I will assume the function describes the number of tickets sold for a given day, if x is the day.

    B) the function is a parabola which opens downwards, so it has a max value, the function value being that maximum.

    A) The last day when tickets are sold would be the last value of x which is positive (before it crosses the x-axis on its downward path)
    so we find the x-intercepts by solving
    -0.2^2+12x+11 = 0 (divide by -.2)
    x^2 - 60x + 55 = 0
    x = (60 ± √(3600 - 4(1)(55))/2
    = 59.06 or .93

    so it mus be the 59th day.

  • math -

    The first part of the problem says this:
    Suppose you are an event coordinator you need to supply information about projected ticket sales to the box office manager, you provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. (x=1, is the day tickets go on sale) tickets=-0.2x^2+12x+11

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