Y varies inversely as X, and Y = 1/5 when X = 35, how do you find the variation constant and the equation of variation for the given situation?

Question

Y varies inversely as X, and Y = 1/5 when X = 35, how do you find the variation constant and the equation of variation for the given situation?

1 Answer

Impact of this question

3212 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-14T09:52:27

$y = \frac{7}{x}$ $y=7/x$

Explanation:

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

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

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

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

$y = \frac{k}{x} \Rightarrow k = y x$ $y=k/xrArrk=yx$

$when x= 35 y = \frac{1}{5}$ $"when x= 35 " y=1/5$

$\Rightarrow k = \frac{1}{5} \times 35 = 7$ $rArrk=1/5xx35=7$

$"equation of variation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=7/x)color(white)(2/2)|)))$

Science

Math

Humanities

... and beyond

Y varies inversely as X, and Y = 1/5 when X = 35, how do you find the variation constant and the equation of variation for the given situation?

1 Answer

Explanation:

Related questions

Impact of this question