Direct & 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

Which of the following represents indirect variation?

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

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

 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

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

• 40
• -40
• 5
• -5

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.C.9

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 number of kilograms of water in a person’s body varies directly as the person’s mass.  A person with a mass of 90 kg contains 60 kg of water.  How many kilograms of water are in a person whose mass is 75 kg?

• 50 kg water
• 72 kg water
• 94 kg water
• 150 kg water

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

 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

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

determine the constant of variation given
{(-15,3)  (-5,1)  (0,0)  (10,-2)}

• -1/5
• 10
• 2
• -5

The table represents

• direct variation
• inverse variation
• neither
• both

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

The gallons of water used to take a shower varies directly with the number of minutes in the shower. If an 8 minute shower uses 48 gallons of water, find the constant of variation.

• 1/6
• 6
• 8
• 48

Tags

CCSS.8.EE.C.7B