Inverse Variation

What does the Direct Variation Equation look like?

• y= kx
• y = mx + b
• y = b
• y = x

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

Determine the type of variation:

• Direct
• Inverse
• Neither

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CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

y varies directly as x. If y=20 when x=4, find the constant of proportionality. 

• k=4
• k=1/4
• k=1/5
• k=5

If y = 15 when x = 12 find y when x = 32.

• 40
• -40
• 5
• -5

Tags

CCSS.6.EE.C.9

 Y varies inversely with x, and y is 0.5 when x is 4. Which equation represents this situation?

• y=2x
• y=2/x
• y=4x
• y=x/2

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

Suppose y varies directly as x.
If  y = 22.5 when x = 15, find y when x = 20.

• 1.5
• 337.5
• 30
• 16.875

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.REI.A.1

The amount of people at your Thanksgiving meal and the amount of leftovers.

• Direct Variation
• Inverse Variation

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

• Yes; 1/4
• Yes; 4
• Yes; 2
• No

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

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

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.4