Direct Variation Word Problem

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

• 26

• 3

• 58.5

• 2

The price of lemons varies directly with the number of pounds of lemons. If it cost $6.20 for 5 pounds of lemons, how much does it cost for 3 pounds of lemons?

• $3.72

• $1.24

• $1.84

• $3.00

12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

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Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

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The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?

• 480

• 1960

• 84

• 25

The time needed to paint a fence varies directly with the length of the fence. If it takes 5 hours to paint 200 feet of fence, how long will it take to paint 500 feet of fence?

• t=9.5

• t=10.5

• t=11.5

• t=12.5

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

• $190.65

• $4.96

• $620

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

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

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