# Worksheet: Inverse Variation

In this worksheet, we will practice creating formulas linking two quantities that vary directly and indirectly.

**Q6: **

For a rectangle of fixed area, the length varies inversely with its width . Given that when , determine the value of when .

**Q7: **

The table below shows how varies with . Use this information to find the value of when .

2 | 7 | 28 | |

28 | 8 | 2 |

**Q8: **

Given that varies inversely as , write an equation for in terms of using as a non-zero constant.

- A
- B
- C
- D

**Q9: **

At the beginning of the month, Jacob bought 70 eggs. Every morning he eats 2 eggs for breakfast. Is the number of remaining eggs proportional to the number of the days that have passed?

- Ayes
- Bno

**Q11: **

If , where is a constant, then .

- A
- B
- C
- D

**Q14: **

For a rectangle of fixed area, the length varies inversely with its width . Given that when , determine the value of when .

**Q17: **

Scarlett buys 5 liters of soda to share between the children at a party. The amount of soda each child will receive varies inversely with the number of children at the party. Write an equation for , the amount of soda in milliliters each child will receive, in terms of , the number of children at the party.

- A
- B
- C
- D
- E

**Q18: **

If , , and when , find when .

- A
- B
- C
- D16

**Q19: **

Determine the correct relation from the following choices, given that , , and .

- A
- B
- C
- D

**Q20: **

Given that , where varies inversely with , and when , determine the value of when .

- A
- B
- C
- D

**Q21: **

A group of scouts receives a donation of to fund places on an international jamboree. The amount each scout receives for their trip varies inversely with the number of scouts from the group going to the jamboree.

Write an equation for , the amount each scout receives, in terms of , the number of scouts from the group who are going to the jamboree.

- A
- B
- C
- D
- E

If 25 scouts from the group are going to the jamboree, how much will each scout receive from the donation?

**Q22: **

If , , and when , which of these equations represents the relation between and .

- A
- B
- C
- D
- E

**Q23: **

The height of a right circular cylinder varies inversely with the square of its radius . If when , determine when .

**Q24: **

Given that , and when , find when .