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Math Help - a line on a plane

  1. #1
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    a line on a plane

    hello
    this is probably very simple, but im very tired and its friday afternoon =)

    this is the case:
    the salary is based on how many pieces you produce. the slowest worker produce 400 pieces per day and the fastest 800.

    the slowest worker should get a minimum wage of 50 dollars per day and the fastest should not exceed 70dollars since the company cant afford a proportional salary scale.

    so how to calculate the evenly distributed the salary per piece for all workers in between 400 and 800??

    the piece wage range can be plotted with the salary range using wolfram alpha.
    where x is the pieces, and y is the salary
    http://www97.wolframalpha.com/input/?i=plot[y/x,{x,400,800},{y,50,70}]

    use this if link does not work

    plot[y/x,{x,400,800},{y,50,70}]

    the evenly distributed piece salary should be a line from the bottom left corner to the top right corner... but how to plot this line in 2D????

    should be simple e?
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  2. #2
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    y=x/20 + 30 ?
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  3. #3
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    Quote Originally Posted by papex View Post
    y=x/20 + 30 ?
    doesnt give the piece price does it...
    but (x/20+30)/x does

    but is there a non graphical way to solve it?
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  4. #4
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    you want to plot the line from the bottom to the top in a straight line?

    So if you walk from 50 to 70, you should in equal pace walk 800 to 400? And there you have it. Right?

    You need to map x to y and put that in the original equation.
    Last edited by ellensius; May 29th 2010 at 04:51 AM. Reason: flipped 400 to 800 order, since it matters.
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  5. #5
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    Quote Originally Posted by ellensius View Post
    you want to plot the line from the bottom to the top in a straight line?

    So if you walk from 50 to 70, you should in equal pace walk 800 to 400? And there you have it. Right?

    You need to map x to y and put that in the original equation.
    vad menar du mead neet to map?
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  6. #6
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    Quote Originally Posted by Lobotomy View Post
    what do you mean with need to map?
    Du fixerar y till x så här:
    När y är 50 så är den andra axeln 800
    När y är 60 är den andra axeln 600
    När y är 70 så är den andra axeln 400.

    Till exemple:

    0\leq x\leq 20

    \frac{50 +x}{800-20x}

    =============================

    You fix x to y like this:
    for y is 50, x is 800
    for y is 60 x is 600
    for y is 70 x is 400.

    For example:


    0\leq x\leq 20

    \frac{50 +x}{800-20x}
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