Assume y varies inversely as x, how do you write the equation given y=2 when x=20?

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Assume y varies inversely as x, how do you write the equation given y=2 when x=20?

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Answer 1 · 2018-06-04T20:07:52

$y = \frac{40}{x}$ $y=40/x$

Explanation:

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

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

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

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

$y = 2 when x = 20$ $y=2" when "x=20$

$y = \frac{k}{x} \Rightarrow k = y x = 2 \times 20 = 40$ $y=k/xrArrk=yx=2xx20=40$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=40/x)color(white)(2/2)|)))$

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Assume y varies inversely as x, how do you write the equation given y=2 when x=20?

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