Direct Variations Practice

On a scale, yards vary directly as feet. If 3 feet represent 30 yards, how many yards represent 5 feet.

• 0.5 yards

• 18 yards

• 32 yards

• 50 yards

Suppose y varies directly as x. If y = -4 when x = 32, find x when y = -0.375.

• 0.05

• 3

• 27.6

• 341.3

The number of books sold varies directly as the cost of the books. If 8 books cost $10.40, how many books can be bought for $32.50?

• 25 books

• 30 books

• 32 books

• 42 books

Suppose y varies directly as x. If x = 15 when y = 12, find x when y = 21.

• 8.57

• 16.8

• 24

• 26.25

The number of days worked varies directly as the amount earned. If a woman earns $805 for 7 days, how many days does she have to work to earn $1840?

• 16 days

• 1042 days

• 20171 days

• 211600 days

Suppose y varies directly as x. If y = 3 when x = 15, find x when y = 5.

• 25

• 17

• 9

• 1

The amount a store earns varies directly as the number of hours. A local store takes in $11,500 in a 4 hour period. Estimate how many hours it would take the store to earn $23,000

• 2 hours

• 8 hours

• 11,504 hours

• 66,125,000 hours

The size of a box varies directly as its mass. A 20 cubic centimeter box has a mass of 40 kg. What is the size of the box if the mass is 100 kg.

• 8 cubic centimeters

• 50 cubic centimeters

• 80 cubic centimeters

• 200 cubic centimeters

Suppose y varies directly as x. If y = -7 when x = -14, find x when y = 10.

• -5

• 3

• 9.8

• 20

Is this a direct variation?
y=2x

• yes

• no