If y=3.8 when x=1.5, how do you find x when y=0.3 given that y varies inversely as x?

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If y=3.8 when x=1.5, how do you find x when y=0.3 given that y varies inversely as x?

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Answer 1 · 2017-07-12T13:44:14

$x = 19$ $x=19$

Explanation:

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

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

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

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

$y = 3.8 when x = 1.5$ $y=3.8" when "x=1.5$

$y = \frac{k}{x} \Rightarrow k = x y = 1.5 \times 3.8 = 5.7$ $y=k/xrArrk=xy=1.5xx3.8=5.7$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=5.7/x)color(white)(2/2)|)))$

$"when " y=0.3$

$y=5.7/xrArrx=5.7/y=5.7/0.3=19$

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If y=3.8 when x=1.5, how do you find x when y=0.3 given that y varies inversely as x?

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