How do you write an inverse variation equation given y=2 when x=5?

Question

How do you write an inverse variation equation given y=2 when x=5?

1 Answer

Impact of this question

3787 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-30T08:53:56

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

Explanation:

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

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

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

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

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

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

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

Science

Math

Humanities

... and beyond

How do you write an inverse variation equation given y=2 when x=5?

1 Answer

Explanation:

Related questions

Impact of this question