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If y varies inversely with x. how do you find the inverse variation equation if x = -3 when y = 30?

1 Answer

Jun 17, 2016

$x y = - 90$ $xy=-90$

Explanation:

If $y$ $y$ varies inversely as $x$ $x$ then
$XXX x \cdot y = k$ $color(white)("XXX")x*y=k$ for some constant $k$ $k$

Since $x = - 3$ $x=-3$ when $y = 30$ $y=30$
$XXX (- 3) \cdot (30) = k$ $color(white)("XXX")(-3)*(30)=k$

$XXX \to k = - 90$ $color(white)("XXX")rarr k=-90$

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