Question

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

Answer 1

Inverse variation.

Explanation:

`1/2xy = 2`

`color(blue)( xy = 4`
`color(blue)( y = 4/x`

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

1. Let `x = 1` , `y= 4/1 = 4`
2. Let `x=4 , y=4/4 = 1`
3. Let `x = 8, y =4/8 = 1/2`

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