What is "for the inverse variation equation xy = k?

An inverse variation equation is a type of mathematical relationship where the product of two variables remains constant. In the equation xy = k, x and y are two variables that are inversely related.

This equation can be rewritten as y = k/x, which shows that when one variable increases, the other variable decreases in order to keep the product constant.

For example, if k = 1, then we have the equation xy = 1. If x = 2, then y must be 1/2 in order to satisfy the equation.

Inverse variation equations are common in many real-world situations, such as Boyle's Law in chemistry and the relationship between speed and time in physics. These relationships can be described and analyzed using inverse variation equations.