# If xy = −25 what is the constant of variation for this relationship?

Jun 22, 2015

The constant of variation is $- 25$ and the relationship is one of inverse variation

#### Explanation:

The constant of variation is the number that relates two variables.

To know what the constant of variation is, you first have to identify what type of variation is occurring: direct or inverse.

The formula for direct variation is: $y = k x$

The formula for inverse variation is: $x y = k$

Since the question matches for formula for inverse variation, we know that that's the type of relationship. In both equations, k is the constant of variation.

So it's important to identify the type of variation and the value of k in order to understand the relationship.