Direct Variation Word Problems

A person’s weekly pay varies directly with 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

• $190.65

• $4.96

• $620

y varies directly with x. When y = 39,  x = 3.  Find the value of y when x = 2.

• 26
• 3
• 58.5
• 2

The number of pages that Hayden can read varies directly with the time spent reading.

If he reads 12 pages in 4 minutes, how many pages can he read in 17 minutes?

• 60 pages

• 51 pages

• 47 pages

• 75 pages

If y vaires directly with x and y= 12 when x= 15. What is the value of x when y= 16?

• 12.8
• 20
• 11.25
• 19

The number of miles Jim runs is directly proportional to the time spent running.

If he runs 6 miles in 46.8 minutes, how long will it take him to run 13.1 miles?

• 92.35 minutes

• 7.8 minutes

• 150.67 minutes

• 102.18 minutes

If 8 oranges cost $ 10.40, how many oranges can be bought for $ 33.80?

• 21

• 23

• 25

• 26

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

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

• 26
• 3
• 58.5
• 2

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 12 loads? 

• 60 gallons
• 780 gallons
• 156 gallons
• 12/13 gallons