Direct and Inverse Variation

y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

• y = 1344x

• y = 100x

• y = 5.25x

• y = 4/21x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

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

• Yes. k = 1/3

• Yes. k = 3

• Yes. k = 5

• No

Which of the given graphs is a direct variation?

• A

• B

• C

• D

Tags

CCSS.8.EE.B.5

What kind of equation is this?

xy = 8

• Linear Equation

• Direct Variation

• Inverse Variation

• Joint Variation

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

• Direct. k = 12

• Inverse. k = 12

• Direct. k = 1/12

• Inverse. k = 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 (x) by 6 painters (y). 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

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

• $394

• $443.25

• $472.80

• $512.20

Tags

CCSS.HSF-LE.A.1B

Which of the following represents direct variation?

• y = kx
• y = k/x
• y = x/k
• y = mx + b

Tags

CCSS.HSF.BF.A.1

Which of the following represents inverse variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b