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Math Help - graphing

  1. #1
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    graphing

    Solving for y

    1. 2x 3y = 12






    2. The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item).

    (a) If the fixed cost is $40 and the variable cost is $10, write the cost equation.

    (b) Graph the cost equation.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Patience View Post
    Solving for y

    1. 2x 3y = 12






    2. The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item).

    (a) If the fixed cost is $40 and the variable cost is $10, write the cost equation.

    (b) Graph the cost equation.

    1. 2x 3y = 12 .....all we have to do is solve for y, i guess you could graph the line just for fun.

    => -3y = 12 - 2x .........subtracted 2x from both sides
    => y = (2/3)x - 4 .........divided both sides by -3. this looks familiar, didn't topsquark do this already?



    2. (a)

    we just plug in the values in the formula given:
    => the cost equation is:
    C = 10x + 40

    (b) Graph the cost equation.
    obviously, the cost equation gives the graph of a straight line, so all we need are two points (if you want to plot more you can). we already know the y-intercept, it's the lone constant 40. so one point is (0,40). now let's find the x-intercept:

    for x-intercept: y = 0 (or in this case, C = 0)

    => 0 = 10x + 40
    => -40 = 10x ...........subtracted 40 from both sides
    => -4 = x ...........divided both sides by -10
    so the x-intercept is (-4,0)

    so now we draw our axis and plot those points:
    Attached Thumbnails Attached Thumbnails graphing-cost.jpg  
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Patience View Post
    Solving for y

    1. 2x 3y = 12
    Just as i thought, topsquark did do this question for you already, graph and all. see here http://www.mathhelpforum.com/math-he...hing-help.html

    if there is something you don't understand about what was done, you should say so in the thread that it was done in. if you made a mistake and reposted the question, then forget about it, it happens.
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