Inverse Variation Answers

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If y varies inversely as x and y is 6 when x is 12, what is x when y is 14.4?

A
5
B
0.4
C
9.6
D
2.5
2
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If y varies inversely as x and y = 18 when x = 4, what is y when x = 24?

A
12
B
6
C
3
D
16
3

Use the equation to determine the pressure when the volume is 10 liters.

Question illustration
A
10
B
0.1
C
100
D
1
4

A project can be completed by 5 workers in 24 days. How many workers are needed to finish the project in 15 days? The time to complete a project is inversely proportional to number of people who are doing the project.

A
10
B
12
C
6
D
8
5

The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 3 hours for a square inch of ice to melt at 60 degrees, find the constant of proportionality

A
150
B
180
C
210
D
200
6

The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. Suppose intensity is 8000 units at a distance of 2 miles. What will the intensity be at a distance of 12 miles? Round your answer to the nearest unit.

A
205 units
B
222 units
C
248 units
D
186 units
7

The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 310 kg. How many kilograms can a 10-m beam support?

A
0.0161 kg
B
62 kg
C
15.5 kg
D
0.0645 kg
8

If y varies inversely as x and x is 6 when y is 13, what is x when y is 8?

A
9.75
B
3.69
C
0.27
D
6.5
9

If y varies inversely as and y = 6 when x = 30, what is y when x = 6?

Question illustration
A
216
B
5
C
180
D
150
10

Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.

A
r = s / 48
B
r = 48 / s
C
r = s / 16
D
r = 16 / s

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