Is #yx = 3# an inverse variation?

1 Answer
Jun 11, 2015

Answer:

Yes.

Explanation:

It looks like this is meant for a Cartesian coordinate plane.

An inverse variation is where two factors always produce the same product, so as one gets bigger, another gets smaller.

A direct variation is where as one number gets bigger, another one gets bigger by a "scale" or constant.

The equation given is #yx = 3#.
This means that no matter what y and x are, their product must be 3.
This exactly matches the definition of an inverse variation, so this is an inverse variation.