Suppose that y varies inversely with x. How do you use the information to find k, and then choose the equation given x=25 and when y=5?

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Suppose that y varies inversely with x. How do you use the information to find k, and then choose the equation given x=25 and when y=5?

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Answer 1 · 2017-07-12T08:04:50

$y = \frac{125}{x}$ $y=125/x$

Explanation:

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

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

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

$to find k use the given condition for x and y$ $"to find k use the given condition for x and y"$

$x = 25 when y = 5$ $x=25" when "y=5$

$y = \frac{k}{x} \Rightarrow k = x y = 25 \times 5 = 125$ $y=k/xrArrk=xy=25xx5=125$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=125/x)color(white)(2/2)|)))$

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Suppose that y varies inversely with x. How do you use the information to find k, and then choose the equation given x=25 and when y=5?

1 Answer

Explanation:

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