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Is $x y = \frac{1}{5}$ $xy= 1/5$ a direct variation, inverse variation, joint or neither?

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Jun 3, 2015

Given $x y = \frac{1}{5}$ $xy = 1/5$

multiplying $x$ $x$ by a factor of $k$ $k$
results in the need to divide $y$ $y$ by $k$ $k$ to maintain the equality.

Therefore the equation is an inverse variation.

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