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Math Help - Graphing.

  1. #1
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    Graphing.

    Tickets to a concert cost $9 for reserved seats and $5 for general admission. If receipts must be at least $11,400 to meet expenses, find an inequality that shows the possible ways that the box office can sell reserved seats (x) and general admission tickets (y).
    Graph the inequality for non negative values of x and y and give three ordered pairs that satisfy the inequality.

    Therefore the line would be :
    9x+5y\geq11,400
    y-intercept: (0,2280)? Set x to 0.
    x-intercept: (1266,0)? Set y to 0.

    But the choices are either of these but doesn't match mine. Help Please.
    (1300, 40)
    (200, 1000)
    (600, 900)
    (500, 1500)
    (1400, 0)
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  2. #2
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    Re: Graphing.

    Quote Originally Posted by theloser View Post
    But the choices are either of these but doesn't match mine. Help Please.
    (1300, 40)
    (200, 1000)
    (600, 900)
    (500, 1500)
    (1400, 0)

    Which of these choices satisfy 9x+5y\geq 11,400 ?
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  3. #3
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    Re: Graphing.

    Is there a way to solve the equation to get the x and y intercepts?
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  4. #4
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    Re: Graphing.

    I see 3 points that satisfy the inequality ...

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  5. #5
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    Re: Graphing.

    How do I go about making the graph? Thanks
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  6. #6
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    Re: Graphing.

    You don't really need to make the graph, but the intercepts you have found are fine and will help you draw the line.

    Quote Originally Posted by theloser View Post
    Graph the inequality for non negative values of x and y and give three ordered pairs that satisfy the inequality.
    Just test the 5 points given, which three satisfy the inequality?
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  7. #7
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    Re: Graphing.

    I have tested it and found (1300, 40),(200, 1000),(1400, 0), does in fact work. But I have gotten the x,y-intercepts incorrectly and would like to know how I would go about finding it.
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  8. #8
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    Re: Graphing.

    Quote Originally Posted by theloser View Post
    I have tested it and found (1300, 40),(200, 1000),(1400, 0), does in fact work. But I have gotten the x,y-intercepts incorrectly and would like to know how I would go about finding it.
    y-intercept ... set x = 0

    x-intercept ... set y = 0

    9x + 5y \ge 11400

    y-intercept at y = 2280

    x-intercept at x = 1266.67
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