Direct, Inverse, Joint Variation Word Problems

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

Tags

CCSS.HSA.REI.D.10

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.

• 12 g

• 6 g

• 27 g

• 54 g

Tags

CCSS.7.EE.B.4

CCSS.7.G.B.6

CCSS.7.RP.A.2

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?

• 308.05 ft

• 295.75 ft

• 296.09 ft

• 253.5 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.B.4

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.SSE.A.1

CCSS.HSA.CED.A.2

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

The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per

second. Find the frequency of a 5 foot string.

• 105 cycles

• 291.7 cycles

• 2625 cycles

• 332 cycles

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.2

The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the

velocity. If a wind blowing at 50 mph exerts a force of 75 pounds on a surface of 500 ft², how much force will a

wind of 75 mph place on a surface of 10 ft²?

• 2.25 pounds

• 3.375 pounds

• 0.67 pounds

• 1 pound

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.4