Inverse Variation Equations

A car travels at a constant speed. If the time taken to travel a certain distance is inversely proportional to the speed of the car, and it takes 4 hours to travel 240 miles, how long will it take to travel 360 miles?

• 5.0

• 2.67

• 3.5

• 1.5

The number of workers needed to complete a construction project is inversely proportional to the time it takes to complete the project. If it takes 10 workers 8 days to complete the project, how many workers are needed to complete the project in 5 days?

• 20

• 12

• 16

• 6

The force of attraction between two objects is inversely proportional to the square of the distance between them. If the force of attraction is 20 Newtons when the distance between the objects is 5 meters, what will be the force of attraction when the distance is 10 meters?

• 5

• 40

• 2.5

• 10

The intensity of light from a light source is inversely proportional to the square of the distance from the source. If the intensity of light is 100 lumens at a distance of 2 meters, what will be the intensity of light at a distance of 4 meters?

• 50 lumens

• 25 lumens

• 10 lumens

• 5 lumens

The pressure of a gas is inversely proportional to its volume. If the pressure is 4 atmospheres when the volume is 2 liters, what will be the pressure when the volume is 5 liters?

• 1.6

• 2.5

• 8

• 0.64

The number of days it takes to complete a task is inversely proportional to the number of workers. If it takes 6 workers 10 days to complete the task, how many days will it take for 3 workers to complete the same task?

• 15

• 5

• 30

• 20

The speed of a car is inversely proportional to the time it takes to travel a certain distance. If it takes 5 hours to travel 300 miles, how long will it take to travel 450 miles?

• 10/3

• 2.5

• 15/2

• 7.5

The temperature of an object is inversely proportional to the square of the distance from a heat source. If the temperature is 80 degrees Celsius at a distance of 2 meters, what will be the temperature at a distance of 4 meters?

• 20

• 40

• 10

• 5

The resistance of a wire is inversely proportional to its length. If the resistance is 10 ohms when the length is 5 meters, what will be the resistance when the length is 8 meters?

• 6.25

• 20

• 12.5

• 3.125

The frequency of a sound wave is inversely proportional to the wavelength. If the frequency is 400 Hz when the wavelength is 0.8 meters, what will be the frequency when the wavelength is 0.4 meters?

• 200 Hz

• 600 Hz

• 1200 Hz

• 800 Hz