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

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Jun 4, 2015

Given $y = \frac{x}{3}$ $y = x/3$ or, equivalently $y = (\frac{1}{3}) x$ $y = (1/3)x$

increasing $x$ $x$ by a factor of any value, "k", will cause $y$ $y$ to increase by that same factor.

Therefore
$XXXX$ $color(white)("XXXX")$ $y = \frac{x}{3}$ $y=x/3$ is a direct variation.

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