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$y=kx$

The constant of variation may be any real number except $0.$ It is worth noting that the quotient of $y$ and $x$ is the constant of variation.

$y=kx⇔xy =k $

Here are some examples. Examples of Direct Variation | ||
---|---|---|

Example | Rule | Comment |

The circumference of a circle. | $C=πd$ | Here, $d$ is the diameter of the circle and the constant of variation is $π.$ |

The mass of an object. | $m=ρV$ | Here, $ρ$ is the constant density of the object and $V$ is the volume. |

Distance traveled at a constant rate. | $d=rt$ | The constant of variation $r$ is the rate and $t$ is the time spent traveling. |

Direct variation is closely related to other types of variation.