Direct and Inverse Variation

Which of the following represents direct variation?

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

Tags

CCSS.HSF.BF.A.1

When dealing with direct and inverse variation, the K represents what?

• Kangaroo
• K-Mart's Blue Light Special
• Constant
• King Cobra Snake

Tags

CCSS.HSF-LE.A.1B

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

• 40
• -40
• 5
• -5

Tags

CCSS.6.EE.C.9

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5. 

• 0.36
• 9
• 25
• 36

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

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

True or False:
An inverse variation is always a curve and a direct variation is always a line?

• True
• False

Tags

CCSS.HSA.REI.D.10

The Height of a wave in California varies directly with the seconds that pass by.  At 4 seconds, the wave is 6 feet high.  How many seconds will give you a wave that is 10 feet high? 

• y = 2/3x
• 6
• 6.6
• 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

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.HSA.REI.D.10

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

What is the constant (k) in this inverse variation?
y = 400/x

• x
• y
• 400
• Not enough information given

Tags

CCSS.HSF-LE.A.1B

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2