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 xy = k, where k is the constant.

If the ratio of y to x is constant for all pairs of values, then it is a direct variation.

If the product of x and y is constant for all pairs of values, then it is an inverse variation.

The constant of variation in Direct Variation is the value of k in the equation y = kx.

The constant of variation in Inverse Variation is the value of k in the equation xy = k.

k = 4 (since y = kx, 8 = k(2) => k = 8/2 = 4).

k = 12 (since xy = k, 3(4) = k => k = 12).

y = 5x.

xy = 20.