# variation

Variation and proportion are defined to be the relationship between two or more variables with regard to a constant of proportionality.

The traditional notation for direct proportionality is $x\propto y$ or, if using regular equality notation, $x=ky$.

Here, $k$ denotes the constant of proportionality.

Similarly, the traditional notation for inverse proportionality is $x\propto 1/y$ or, with regular equality, $x=k/y$.

For direct proportionality, to find the value of an unknown $x$ or $y$, you may use the formula: ${y}_{1}/{x}_{1}={y}_{2}/{x}_{2}$

Similarly, for inverse proportion it would be: ${x}_{1}/{y}_{1}={y}_{2}/{x}_{2}$

Title | variation |
---|---|

Canonical name | Variation |

Date of creation | 2013-03-22 14:53:49 |

Last modified on | 2013-03-22 14:53:49 |

Owner | drini (3) |

Last modified by | drini (3) |

Numerical id | 7 |

Author | drini (3) |

Entry type | Topic |

Classification | msc 08C99 |

Synonym | Proportion |

Related topic | HomogeneousEquation |

Related topic | GraphOfEquationXyConstant |

Related topic | ProportionalityOfNumbers |

Defines | Relationships between two or more variables. |