How do you determine whether $x y = \frac{1}{4}$ $xy=1/4$ is an inverse or direct variation?

Question

How do you determine whether $x y = \frac{1}{4}$ $xy=1/4$ is an inverse or direct variation?

1 Answer

Impact of this question

2924 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-07T14:18:48

$x y = \frac{1}{4} represents inverse variation$ $xy=1/4" represents inverse variation"$

Explanation:

$the direct variation equation is$ $"the direct variation equation is "$

$∙ x y = k x \leftarrow k is constant of variation$ $•color(white)(x)y=kxlarr" k is constant of variation"$

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

$the inverse variation equation is$ $"the inverse variation equation is"$

$∙ x y = \frac{k}{x}$ $•color(white)(x)y=k/x$

$\Rightarrow k = x y$ $rArrk=xy$

$thus x y = \frac{1}{4} represents inverse variation$ $"thus "xy=1/4" represents inverse variation"$

Science

Math

Humanities

... and beyond

How do you determine whether $x y = \frac{1}{4}$ $xy=1/4$ is an inverse or direct variation?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you determine whether xy=14xy=1/4 is an inverse or direct variation?

1 Answer

Explanation:

Related questions

Impact of this question

How do you determine whether $x y = \frac{1}{4}$ $xy=1/4$ is an inverse or direct variation?