Algebra

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I am supposed to find the ticket sales of a concert using this formula:

N(x)= -0.3x^2 + 6x + 15

X represtents the number of days since the concert was first announced. I need to find out when daily ticket sales will peak and how many tickets will be sold on that day. How do i work out this problem I don't know the first place to start! please help.

  • Algebra -

    If you are not in Calculus, then I would graph the equation to find x for the maximum sales.

  • Algebra -

    So I should find the vertex?

  • Algebra -

    I assume no calculus, therefore we must look at the shape of this curve.
    it is of form ax^2 + bx + c, a parabola
    y = -.3 x^2 + 6 x + 15
    we need to find the vertex
    complete the square
    y/-.3 = x^2 +6/-.3 x +15/-.3
    x^2 - 20x -50 = -3.33 y
    x^2 -20 x = -3.33 y +50
    x^2 -20 x +100 = -3.33y +150
    (x-10)^2) = -3.33 ( y - 45)
    vertex at (10,45)
    10 days, 45 tickets

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