Question

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

Answer 1

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 = kx`

The formula for inverse variation is: `xy = 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.