Indirect Proportionality

Practice Questions

Algebra II › Indirect Proportionality

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1

The number of slices of pizza you get varies indirectly with the total number of people in the restaurant. If you get slices when there are people, how many slices would you get if there are people?

2

varies inversely as the square root of . If , then . Find if (nearest tenth, if applicable).

3

x varies inversely with y. When x=10, y=6. When x=3, what is y?

4

varies inversely with and the square root of . When and , . Find when and .

5

varies directly with and inversely with the square root of . Find values for and that will give , for a constant of variation .

6

The speed of a turtle is indirectly proportional to its weight in pounds. At 10 pounds, the turtle's speed was 0.5. What is the speed of the turtle if it grew and weigh 50 pounds?

7

The number of hours needed for a contractor to finish a job varies indirectly with the total number of people the contractor hires. If the job is completed in hours when there are people, how many hours would it take if there were people?

8

The number of days needed to construct a house is inversely proportional to the number of people that help build the house. It took 28 days to build a house with 7 people. A second house is being built and it needs to be finished in 14 days. How many people are needed to make this happen?

9

The number of raffle tickets given for a contest varies indirectly with the total number of people in the building. If you get tickets when there are people, how many slices would you get if there are people?

10

varies inversely with three times the square root of . If , then

Find if . Round to the nearest tenth if applicable.

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