How do you write an inverse variation equation given y = 10 when x = 2?

Question

How do you write an inverse variation equation given y = 10 when x = 2?

1 Answer

Impact of this question

3663 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-28T08:17:46

$y = \frac{20}{x}$ $y=20/x$

Explanation:

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

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

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

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

$y = 10 when x = 2$ $y=10" when "x=2$

$y = \frac{k}{x} \Rightarrow k = y x = 10 \times 2 = 20$ $y=k/xrArrk=yx=10xx2=20$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=20/x)color(white)(2/2)|)))$

Science

Math

Humanities

... and beyond

How do you write an inverse variation equation given y = 10 when x = 2?

1 Answer

Explanation:

Related questions

Impact of this question