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 a non-zero constant.

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 a non-zero constant.

y = 5x.

y = 18/x.

In direct variation, k represents the constant of proportionality, indicating how much y changes for a unit change in x.

In inverse variation, k represents the constant product of the two variables, indicating that as one variable increases, the other decreases.

y = kx², where k is a constant.

To find k, divide y by x (k = y/x) using known values of y and x.

To find k, multiply y by x (k = y * x) using known values of y and x.

As x increases, y decreases, demonstrating the inverse relationship.