Homework Help: Mathematics: Algebra: Variations

The two most common types of variations in graphs are called direct variations and inverse variations. In both variations, y is given in terms of x. In direct variations, x is always multiplied by a number to get y. On the other hand, in inverse variations, x is always divided by a number to get y.

Direct variations can be written as y = kx where k is the constant of variation. Inverse variations can be written as y = k/x. Here are some examples of direct-variation and inverse-variation formulas:

Direct Variation Formulas

y = kx y varies directly as x k > 0 k < 0

y = kx2 y varies directly as the square of x k > 0 k < 0

Inverse Variation Formulas

y = k/x y varies inversely as x k > 0 k < 0

y = k/(x2) y varies inversely as the square of x k > 0 k < 0

Homework Help: Mathematics: Algebra

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