How do you find the constant of variation K for the inverse variation and write the inverse variation equation given x= 1/2 y= 14?

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How do you find the constant of variation K for the inverse variation and write the inverse variation equation given x= 1/2 y= 14?

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Answer 1 · 2017-11-20T09:18:28

$y = \frac{7}{x}$ $y=7/x$

Explanation:

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

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

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

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

$x = \frac{1}{2} when y = 14$ $x=1/2" when "y=14$

$t = \frac{k}{x} \Rightarrow k = y x = 14 \times \frac{1}{2} = 7$ $t=k/xrArrk=yx=14xx1/2=7$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=7/x)color(white)(2/2)|)))$

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How do you find the constant of variation K for the inverse variation and write the inverse variation equation given x= 1/2 y= 14?

1 Answer

Explanation:

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