Assume that y varies inversely as x, how do you write an inverse variation equation that relates x and y given y=-4 when x=-3?

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Assume that y varies inversely as x, how do you write an inverse variation equation that relates x and y given y=-4 when x=-3?

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Answer 1 · 2017-12-19T09:32:24

$y = \frac{12}{x}$ $y=12/x$

Explanation:

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

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

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

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

$y = - 4 when x = - 3$ $y=-4" when "x=-3$

$y = \frac{k}{x} \Rightarrow k = y x = - 4 \times - 3 = 12$ $y=k/xrArrk=yx=-4xx-3=12$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=12/x)color(white)(2/2)|)))$

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Assume that y varies inversely as x, how do you write an inverse variation equation that relates x and y given y=-4 when x=-3?

1 Answer

Explanation:

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