Y varies inversely with x and y = 5 when x = 2. Which is the inverse variation equation for the relationship?

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Y varies inversely with x and y = 5 when x = 2. Which is the inverse variation equation for the relationship?

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Answer 1 · 2017-08-10T07:37:58

$y = \frac{10}{x}$ $y=10/x$

Explanation:

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

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

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

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

$y = 5 when x = 2$ $y=5" when "x=2$

$y = \frac{k}{x} \Rightarrow k = y x = 5 \times 2 = 10$ $y=k/xrArrk=yx=5xx2=10$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=10/x)color(white)(2/2)|)))$

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Y varies inversely with x and y = 5 when x = 2. Which is the inverse variation equation for the relationship?

1 Answer

Explanation:

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