Joint Variation Word Problems

If y varies jointly with x and z. Find y when k=10,x=5 and z =2

• y=200

• y=250

• y=100

• y=150

"m varies jointly as n and the square of o", the equation of variation is__________.

• m=kno²

• m=kno³

• m=kno

• m=kn/o

The area A of a triangle varies jointly as the base b and altitude h, the equation of variation is_______.

"The appropriate length l of a rectangle beams varies jointly as it's width w and it's depth d", the equation of variation is________.

Which of the following is the general form of Joint Variation.

• a=kb/c

• a=kb

• a=kbc

• a=k/b

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

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

The time required to process a shipment of goods at Wal-Mart varies directly with the number of items in the

shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?

• 6.5 hours

• 7.75 hours

• 8.9 hours

• 10.2 hours