Assume y varies inversely as x, how do you write the equation given y=12 when x=-9?

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Assume y varies inversely as x, how do you write the equation given y=12 when x=-9?

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Answer 1 · 2017-11-17T19:47:41

$y = - \frac{108}{x}$ $y=-108/x$

Explanation:

$the initial statement is y \propto \frac{1}{x}$ $"the initial statement is "yprop1/x$

$to convert to an equation multiply by k the constant$ $"to convert to an equation multiply by k the constant"$
$of variation$ $"of variation"$

$\Rightarrow y = k \times \frac{1}{x} = \frac{k}{x}$ $rArry=kxx1/x=k/x$

$to find k use the given condition$ $"to find k use the given condition"$

$y = 12 when x = - 9$ $y=12" when "x=-9$

$y = \frac{k}{x} \Rightarrow k = y x = 12 \times - 9 = - 108$ $y=k/xrArrk=yx=12xx-9=-108$

$"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-108/x)color(white)(2/2)|)))$

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Assume y varies inversely as x, how do you write the equation given y=12 when x=-9?

1 Answer

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