y varies inversely as x, and y = 5 when x = 2, solve for x when y = 4

y = | k |

x |

where k is a constant

5 = | k |

2 |

k = 10

x = | 10 |

y |

x = | 10 |

4 |

x = **2.5**

Free Variation Equations Calculator - This calculator solves the following direct variation equations and inverse variation equations below:

* y varies directly as x

* y varies inversely as x

* y varies directly as the square of x

* y varies directly as the cube of x

* y varies directly as the square root of x

* y varies inversely as the square of x

* y varies inversely as the cube of x

* y varies inversely as the square root of x

This calculator has 3 inputs.

* y varies directly as x

* y varies inversely as x

* y varies directly as the square of x

* y varies directly as the cube of x

* y varies directly as the square root of x

* y varies inversely as the square of x

* y varies inversely as the cube of x

* y varies inversely as the square root of x

This calculator has 3 inputs.

y = kx

y = k/x

y = kx^2

y = k/x^2

y = kx^3

y = k/x^3

For more math formulas, check out our Formula Dossier

y = k/x

y = kx^2

y = k/x^2

y = kx^3

y = k/x^3

For more math formulas, check out our Formula Dossier

- constant of proportionality
- the ratio that relates two given values in what is known as a proportional relationship

k - inverse
- opposite or contrary in position
- variation equations
- Equations with variables dependent on another variable

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