Direct Variations Practice

Is the given table a direct variation? If so, what is the constant?

• Yes; 1/4

• Yes; 4

• Yes; 2

• No

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

• 26

• 3

• 58.5

• 2

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

• $2

• $308

• $1.57

• $265

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work. 

• $3813

• $620

• $190.65

• $4.96

The number of kilograms of water in a person’s body varies directly as the person’s mass.  A person with a mass of 90 kg contains 60 kg of water.  How many kilograms of water are in a person whose mass is 75 kg?

• 50 kg water

• 72 kg water

• 94 kg water

• 150 kg water

Suppose y varies directly as x. If x = 27 when y = 6, find x when y = 2.

• 0.44

• 81

• 23

• 9

Suppose y varies directly as x. If x = 24 when y = 8, find y when x = 33.

• -1

• 5.8

• 11

• 99

The number of apples sold varies directly as the cost. If 4 apples cost $0.45, find the cost of 12 apples.

• $1.35

• $106.67

• $0.45

• $0.15

Suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4.

• 1.07

• 15

• 26

• 60

Suppose y varies directly as x. If y = 150 when x = 3, find y when x = 5.

• 0.1

• 90

• 153

• 250