Suppose that y varies inversely with x, and y = 2 when x = 6. What is an equation for the inverse variation?

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Suppose that y varies inversely with x, and y = 2 when x = 6. What is an equation for the inverse variation?

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Answer 1 · 2018-04-07T18:27:19

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

Explanation:

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

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

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

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

$y = 2 when x = 6$ $y=2" when "x=6$

$y = \frac{k}{x} \Rightarrow k = y x = 6 \times 2 = 12$ $y=k/xrArrk=yx=6xx2=12$

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

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Suppose that y varies inversely with x, and y = 2 when x = 6. What is an equation for the inverse variation?

1 Answer

Explanation:

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