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# module 4

Question | Answer |
---|---|

If y varies directly as x, find the constant of variation k and the direct variation equation for the situation. y equals=7 when x equals=21 | k=1/3 y=1/3x |

The weight of a synthetic ball varies directly with the cube of its radius. A ball with a radius of 2 inches weighs 3.20 pounds. Find the weight of a ball of the same material with a 3-inch radius. | 10.80 lb |

If the voltage V in an electric circuit is held constant, the current I is inversely proportional to the resistance R. If the current is 40 amperes when the resistance is 240 ohms, find the current when the resistance is 150 ohms. | 64 amperes |

Write the statement as an equation. Use k as the constant of variation. g varies jointly as m and s. | g=kms |

For the statement, find the constant of variation and the variation equation y varies jointly as x and the cube of z; y equals=64 when x equals=2 and z equals=2 | k=4 y=4xz^3 |

Write an equation to describe the variation. Use k for the constant of proportionality. y varies directly as t and inversely as p^4 | kt/p^4 |

Write an equation to describe the variation. Use k for the constant of proportionality. n varies inversely as e^2 | n=k/e^2 |

The intensity of light (in foot-candles) varies inversely as the square of x, distance in feet from light source. The intensity of light 33 ft from the source is 36 foot-candles. How far away is the source if the intensity of light is 4 ft candles? | 9 feet |

The volume of a cone varies jointly as the square of its radius and its height. If volume of a cone is 12π cubic inches when the radius is 2 inches and height is 9 inches, find volume of a cone when the radius is 33 inches and the height is 6 in. | the volume is 18π in.^3 |

For the statement, find the constant of variation and the variation equation. y varies jointly as x and the cube of z; y=729 when x=9 and z=3 | k=3 y=3xz^3 |

Created by:
lrutkowske