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Math Help - inverse variation and proportion problems!!!

  1. #1
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    Arrow inverse variation and proportion problems!!!

    1) If m varies inversely as n squared (didn't know how to put little 2 subscript), and m=9 when n=2/3, find m when n=5/4.
    Please show all steps



    2) Which container of ice tea is the best buy. Find this using ratio or proportion.

    350g costs $3.99
    600g costs $5.49
    1kg costs $8.99

    Thanks!
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by wickedcharchar View Post
    1) If m varies inversely as n squared (didn't know how to put little 2 subscript), and m=9 when n=2/3, find m when n=5/4.
    Please show all steps



    2) Which container of ice tea is the best buy. Find this using ratio or proportion.

    350g costs $3.99
    600g costs $5.49
    1kg costs $8.99

    Thanks!
    so m=\frac{k}{n^2} then evaluating at your two values gives

    9=\frac{k}{(\frac{2}{3})^2}=\frac{k}{\frac{4}{9}} solveing for k gives k=4 so we get

    m=\frac{4}{n^2} using n=5/4 to evaluate we get...

    m=\frac{4}{(\frac{5}{4})^2}=\frac{4}{\frac{25}{16}  }=\frac{64}{25}

    for the next part you want to find the unit price \frac{price}{amount} note that the last one is in kg 1kg=1000g

    So divide the price by how much for each one and pick the smallest value.
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