Is $x = \frac{3}{y}$ $x = 3/y$ an inverse or direct variation?

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Is $x = \frac{3}{y}$ $x = 3/y$ an inverse or direct variation?

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Answer 1 · 2018-05-21T00:30:40

Inverse

Explanation:

Directly proportional means that $y = k x$ $y=kx$ for $k$ $k$ constant, while inversely proportional means that $y = \frac{k}{x}$ $y=k/x$ for $k$ $k$ constant.

Given: $x = \frac{3}{y}$ $x=3/y$ .

$:.xy=3$

$y=3/x$ .

Comparing now $y=k/x$ and $y=3/x$ , we see easily that $k=3$ , and this is an inverse variation.

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Is $x = \frac{3}{y}$ $x = 3/y$ an inverse or direct variation?

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Explanation:

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Is $x = \frac{3}{y}$ $x = 3/y$ an inverse or direct variation?