# Variations and Proportions

*y*is directly proportional to

*x*or

*y*varies directly as

*x*:

$y = kx$

*y*is inversely proportional to

*x*or

*y*varies inversely with

*x*:

$y = \dfrac{k}{x}$

*y*is directly proportional to

*x*and

*z*:

$y = kxz$

*n*

^{th}power of

*x*and

*m*

^{th}power of

*z*

*y*is directly proportional to the square of

*x*and varies inversely to the cube of

*z*.

$y = \dfrac{kx^2}{z^3}$

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