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3

In which of the following tables x and y vary directly?

(i)

A | 7 | 9 | 13 | 21 | 25 |

B | 21 | 27 | 39 | 63 | 75 |

(ii)

A | 10 | 20 | 30 | 40 | 46 |

B | 5 | 10 | 15 | 20 | 23 |

(iii)

A | 2 | 3 | 4 | 5 | 6 |

B | 6 | 9 | 12 | 17 | 20 |

(iv)

A | 1 | 2 | 3 | 4 | 5 |

B | 1 | 2 | 3 | 4 | 3 |

5

Complite the following tables given that x varies directly as y.

(i)

X | 2.5 | ………. | ………. | 15 |

Y | 5 | 8 | 12 | ………. |

(ii)

X | 5 | …… | 10 | 35 | 25 | ……. |

Y | 8 | 12 | …. | ……. | ……. | 32 |

(iii)

X | 6 | 8 | 10 | ……. | 20 |

Y | 15 | 20 | …. | 40 | ……. |

(iv)

X | 4 | 9 | …… | ……. | 3 | …. |

Y | 16 | ….. | 48 | 36 | …… | 4 |

(v)

X | 3 | 5 | 7 | 9 |

2 | ….. | 20 | 28 | …… |

6

Find the constant of variation from the table given below:

x | 3 | 5 | 7 | 9 |

y | 12 | 20 | 28 | 36 |

Set up table and solve the following problems. Use unitary method to verfy the answer.

1

In which of the following tables x and y vary inversely:

(i)

X | 4 | 3 | 12 | 1 |

Y | 6 | 8 | 2 | 24 |

(ii)

X | 5 | 20 | 10 | 4 |

Y | 20 | 5 | 10 | 25 |

(iii)

X | 4 | 3 | 6 | 1 |

Y | 9 | 12 | 8 | 36 |

(iv)

X | 9 | 24 | 15 | 3 |

Y | 8 | 3 | 4 | 25 |

2

It x and y vary inversely, fill in the following blanks:

(i)

X | 12 | 16 | ….. | 8 | … |

Y | …. | 6 | 4 | ……. | 0.25 |

(ii)

X | 16 | 32 | 8 | 128 |

Y | 4 | ….. | ……. | 0.25 |

(iii)

x | 9 | …… | 81 | 243 |

y | 27 | 9 | …… | 1 |

4

It is known that for a given mass of gas, the volume v varies inversely as the pressure p. Fill in the missing entries in the following table :

v (in cm) | … | 48 | 60 | … | 100 | … | 200 |

p (in atmospheres) | 2 | … | 3/2 | 1 | … | 1/2 | … |