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    Inverse Variation Formula

    Inverse variation: A constant product

    Inverse variation occurs when two variables have a constant product.

    Formula for Invervse Variation

    Inverse variation occurs when two variables such as XY are always equation to some constant K.

      Example of Inverse Variation

    • XY = 100
    The effect of this relationship is that when one variable decreases the other variable increases as summarized in the table below
    X Y XY
    1 100 100
    2 50 100
    4 25 100
    5 20 100
    10 10 100
    20 5 100
    25 4 100
    50 2 100
    100 1 100
    Identify which equations below represent inverse variation.
    Answer
    practice problem 2) The speed of a laundry truck varies inversely with the time it takes to reach its destination. If the truck takes 3 hours to reach its destination traveling at a constant speed of 50 miles per hour, how long will it take to reach the same location when it travels at a constant speed of 60 miles per hour?
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