Direct/Inverse Variation

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is the constant of variation.

Inverse Variation is a relationship between two variables where the product of the two variables is a constant. It can be expressed as y = k/x, where k is the constant of variation.

In Direct Variation, the constant of variation (k) represents the ratio of y to x, indicating how much y changes for a change in x.

In Inverse Variation, the constant of variation (k) represents the product of x and y, indicating that as one variable increases, the other decreases.

y = 3x

y = 15/x

A set of values represents Direct Variation if the ratio of y to x is constant for all pairs of values.

A set of values represents Inverse Variation if the product of x and y is constant for all pairs of values.

In Direct Variation, as x increases, y also increases, and vice versa.

In Inverse Variation, as x increases, y decreases, and vice versa.