Inverse Variation Practice

Identify the inverse variation relationship from the following equations:

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• 5

• 7

• 4

• 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.2

Apply inverse variation to a real-life scenario: If the number of workers is inversely proportional to the time taken to complete a task, and 8 workers can complete the task in 6 hours, how long will it take for 12 workers to complete the same task?

• 10 hours

• 4 hours

• 5 hours

• 2 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Analyze the inverse variation data: Given the data points (2, 8), (4, 4), (8, 2), determine if they represent an inverse variation relationship and find the constant of variation.

• No, the data points represent a direct variation relationship with a constant of variation of 4.

• Yes, the data points represent an inverse variation relationship with a constant of variation of 16

• Yes, the data points represent an inverse variation relationship with a constant of variation of 2.

• No, the data points do not represent any type of variation relationship.

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.2

Solve the inverse variation equation: y = 10/x for x when y = 5

• 2

• 6

• 4

• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.2

Apply inverse variation to a real-life scenario: If the pressure of a gas is inversely proportional to its volume, and the pressure is 4 atm when the volume is 2 L, what will be the pressure when the volume is 8 L?

• 1 atm

• 10 atm

• 0.5 atm

• 16 atm

Tags

CCSS.HSA.CED.A.1

Analyze the inverse variation data: Given the data points (3, 6), (6, 3), (9, 2), determine if they represent an inverse variation relationship and find the constant of variation.

• Yes, the data points represent an inverse variation relationship with a constant of variation k = 18.

• No, the data points do not represent any type of variation relationship.

• No, the data points represent a direct variation relationship with a constant of variation k = 18.

• Yes, the data points represent an inverse variation relationship with a constant of variation k = 6.

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.2

• 1

• 2

• 3

• 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.2

Apply inverse variation to a real-life scenario: If the speed of a car is inversely proportional to the time taken to reach the destination, and a car traveling at 60 mph reaches the destination in 4 hours, how long will it take for a car traveling at 80 mph to reach the same destination?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Analyze the inverse variation data: Given the data points (5, 10), (10, 5), (15, 3.33), determine if they represent an inverse variation relationship and find the constant of variation.

• Yes, the data points represent an inverse variation relationship with a constant of variation k = 50.

• No, the data points do not represent any type of variation relationship.

• No, the data points represent a direct variation relationship with a constant of variation k = 50.

• Yes, the data points represent an inverse variation relationship with a constant of variation k = 15.

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2