Is $z = x y$ $z = xy$ an inverse variation?

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Is $z = x y$ $z = xy$ an inverse variation?

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Answer 1 · 2015-06-04T21:28:26

$z = x y$ $z = xy$ is an inverse variation on $x$ $x$ and $y$ $y$ ; that is for a fixed value of $z$ $z$ multiplying one of $x$ $x$ or $y$ $y$ by any value $k$ $k$ will result in the other being divided by $k$ $k$

$z = x y$ $z = xy$ is a direct variation on $x$ $x$ and $z$ $z$ .

$z = x y$ $z= xy$ is (also) a direct variation on $y$ $y$ and $z$ $z$ .

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Is $z = x y$ $z = xy$ an inverse variation?

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Is $z = x y$ $z = xy$ an inverse variation?