Is $\frac{1}{2} x y = 2$ $1/2xy = 2$ an inverse or direct variation?

Question

Is $\frac{1}{2} x y = 2$ $1/2xy = 2$ an inverse or direct variation?

1 Answer

Impact of this question

2729 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-14T07:41:20

Inverse variation.

Explanation:

$\frac{1}{2} x y = 2$ $1/2xy = 2$

$x y = 4$ $color(blue)( xy = 4$
$y = \frac{4}{x}$ $color(blue)( y = 4/x$

Here, $x and y$ $x and y$ are variables and $4$ $4$ is the constant.
Let us assume values for $x$ $x$ and observe the trend in values of $y$ $y$

Let $x = 1$ $x = 1$ , $y = \frac{4}{1} = 4$ $y= 4/1 = 4$
Let $x = 4, y = \frac{4}{4} = 1$ $x=4 , y=4/4 = 1$
Let $x = 8, y = \frac{4}{8} = \frac{1}{2}$ $x = 8, y =4/8 = 1/2$

We can observe here, that as the values of $x$ $x$ increase, the values of $y$ $y$ decrease and hence the variation is inverse (if one increases other decreases.)

Science

Math

Humanities

... and beyond

Is $\frac{1}{2} x y = 2$ $1/2xy = 2$ an inverse or direct variation?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Is 1/2xy = 212xy=21/2xy = 2 an inverse or direct variation?

1 Answer

Explanation:

Related questions

Impact of this question

Is $\frac{1}{2} x y = 2$ $1/2xy = 2$ an inverse or direct variation?