Assume y varies inversely as x, how do you write the equation given y=18 when x=4?

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Assume y varies inversely as x, how do you write the equation given y=18 when x=4?

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Answer 1 · 2017-10-30T20:19:40

$y = \frac{72}{x}$ $y=72/x$

Explanation:

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

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

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

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

$y = 18 when x = 4$ $y=18" when "x=4$

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

$\Rightarrow k = y x = 18 \times 4 = 72$ $rArrk=yx=18xx4=72$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=72/x)color(white)(2/2)|)))$

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Assume y varies inversely as x, how do you write the equation given y=18 when x=4?

1 Answer

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