Different types of variations

Determine if there is a constant of variation. If so, explain what it represents.

The equation y = 0.10 x + 45 represents the cost y of a cell phone plan when x text messages are sent and received.

• The constant of variation is $0.10. + 45. This means that for every text message sent, you pay 0.10 + $45.

• There is no constant of variation. The cost does not vary directly with the number text messages sent and received.

Tags

CCSS.HSF.LE.B.5

Determine if there is a constant of variation. If so, explain what it represents.

The equation y = 24 x represents the number of bottles of water y in x packages.

• The constant of variation is 24. This means that there are 24 bottles of water in each package.

• There is no constant of variation. The number of bottles varies per package.

Tags

CCSS.HSF-LE.A.1B

In a direct variation, y=39 when x=3.  Find the value of y when x=2.

• 26
• 3
• 58.5
• 2

Tags

CCSS.HSF-LE.A.1B

 y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?

• y=32x
• y=16x
• y=2x
• y=(1/2)x

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.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
• $440
• $472.80
• $512.20

Tags

CCSS.HSF-LE.A.1B

The equation    
w = 10chs  represents:

• direct variation
• inverse variation
• joint variation
• none of these

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

The equation 
xy =  25  represents:

• direct variation
• inverse variation
• joint variation
• none of these

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is 15.84 cubic feet when the height is 22 feet and the distance around the trunk is 3 feet, what is the volume of wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk?

• 44.96 ft³

• 49.96 ft³

• 40.96 ft³

• 32.96 ft³

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

If f varies jointly as q² and h, and f = 96 when q = 4 and h = 3, find q when f = 48 and h = 6.

• 4

• 2

• 6

• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3