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If y varies inversely as x and y = 6 when x = 18, then how do you find x when y = 10?

1 Answer

Sep 15, 2015

$x = 10.8$ $x=10.8$

Explanation:

If $y$ $y$ varies inversely as $x$ $x$ then
$XXX x y = c XXX for some constant c$ $color(white)("XXX")xy =c color(white)("XXX")" for some constant " c$

Given $(x, y) = (18, 6)$ $(x,y)=(18,6)$ is a solution pair to this relation
$XXX (18) (6) = c$ $color(white)("XXX")(18)(6) =c$

$\to XXX c = 108$ $rarrcolor(white)("XXX")c = 108$

$\to$ $rarr$ The relationship is
$XXX x y = 108$ $color(white)("XXX")xy =108$

therefore when $y = 10$ $y=10$
$XXX x (10) = 108$ $color(white)("XXX")x(10) =108$

$\to XXX x = 10.8$ $rarrcolor(white)("XXX")x=10.8$

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