The drama club is selling tickets for a play. The profit, y, is modeled by the equation, y = x2 – 40x – 3,200, where x is the nu

Question

The drama club is selling tickets for a play. The profit, y, is
modeled by the equation, y = x2 – 40x – 3,200, where x is
the number of tickets sold. What is the total number of
tickets, x, that need to be sold for the drama club to break
even (profit = $0)?

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Thanh Hà 3 years 2021-08-31T08:02:05+00:00 1 Answers 26 views 0

Answers ( )

  1. thuhuong
    0
    2021-08-31T08:03:09+00:00
    Reply

    Answer:

    80 tickets

    Step-by-step explanation:

    Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of  tickets, x, that need to be sold for the drama club to break  even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;

    y = x^2 – 40x – 3,200,

    0 = x^2 – 40x – 3,200,

    x^2 – 40x – 3,200 = 0

    x^2 – 80x  + 40x – 3,200 = 0

    x(x-80)+40(x-80) = 0

    (x+40)(x-80) = 0

    x = -40 and x = 80

    x cannot be negative

    Hence the total number of  tickets, x, that need to be sold for the drama club to break  even is 80 tickets

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )