Explain how a person can determine if a set of data represents inverse variation and give an example using a table of values.

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rcmath | High School Teacher | (Level 1) Associate Educator

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y varies inversely with x, means `y=k/x`

We can rewrite the above as xy=k, where k is a constant. Thus given a table of values, if every time we multiply x by it corresponding y, we get the same constant, then we have an inverse variation.``


    x         y               xy

   1         60              60

   2         30              60

   3         20              60

   4         15              60