Direct and Inverse Variation

Is the given table a direct variation? If so, what is the constant of variation?

• Yes; $\frac{1}{3}$

• Yes; 3

• Yes; 5

• No

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

• Direct, 12

• Inverse, 12

• Direct, $\frac{1}{12}$

• Inverse, $\frac{1}{12}$

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

• 8 painters

• 10 painters

• 9 painters

• 11 painters

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSN.Q.A.1

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

• $394.00

• $443.25

• $472.80

• $512.20

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

In a direct variation, y = 39 when x = 3.

Find the value of y when x = 2.

• 26

• 3

• 58.5

• 2

Given that (4, 1) and (2, 2) satisfy an inverse variation, find k (the constant of variation).

•  $\frac{1}{2}$  

•  $1$  

•  $2$  

•  $4$  

True or False: In a direct relationship the constant of variation is the product of x and y, and in an inverse relationship the constant of variation is the quotient of x and y.

• True

• False

The cost per person to rent a mountain cabin 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

• $4.50

• $12.50

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

In a random sampling of 200 cars of a model, 3 have manufacturing defects. If there is a direct variation between the number of cars and the number of defects, how many of 10,000 cars of the same model will have a manufacturing defect?

• 150

• 200

• 250

• 300

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4