Inverse Variation and Reciprocal Function

Given that y varies inversely with x and y = 10 when x = 4, what is y when x = 2?

• 5

• 20

• 40

• 8

X and Y have an inverse variation relationship. Given (5, 20), what is the constant of variation?

• 4

• 5

• 25

• 100

Does the table show an inverse variation?

• Yes

• No

• Not enough information

What is the constant (k) in this inverse variation?

• 12
• 24
• 48
• Not enough information given

Is the given table a direct or inverse variation? What is the constant of variation?

• Direct, 12
• Inverse, 12
• Direct, 1/12
• Inverse, 1/12

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2

The number of hours to paint a house varies inversely with the number of painters working. An average house can be painted in 25 hours by 8 painters. How many painters would need to work in order to paint the house in 10 hours?

You would need _____ painters.

Suppose y varies inversely with x. If y = 150 when x = 2, find y when x = 25.

y = ___

The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?

• $22.50
• $57.60
• $1.11
• $12.50

The width of a rectangle varies inversely with its length.  If the width is 6 when the length is 24, give an equation that shows the relationship.

• y = 4x
• y = 144x
• y = 4/x
• y = 144/x

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

• 5.33 hours 
• 6.75 hours 
• 12 hours 
• 10 hours