Direct, Inverse, Joint Variations

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

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

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

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

Determine the type of variation. (Test values into the formulas, must be true for all values in the table).

• Direct

• Inverse

• None

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

If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

• 42

• 36

• 25

• 49