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.

k = xy = 5 * 20 = 100.

y = kx.

y = k/x.

The constant of variation is 12.

Inverse variation.

k = y/x = 4/2 = 2.

It means that as one variable increases, the other variable also increases proportionally.

It means that as one variable increases, the other variable decreases, such that their product remains constant.