Direct Variation Word Problems

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours? 

• $394
• $443.25
• $472.80
• $512.20

The number of words Maria typed varied directly with the amount of time she spent typing. If she typed 275 words in 5 minutes, how long would it take her to type 1,100 words? 

• 220 minutes
• 20 minutes
• 15 minutes
• 4 minutes 

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 gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber is at 50 degrees, what is the pressure in the chamber when the temperature of the chamber is 75 degrees? 

• 175 atm
• 200 atm
• 225 atm
• 275 atm

On a treasure map, the actual distance is directly related to the scaled distance.  If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

• 27 cm
• 675 cm
• 529 cm
• 32 cm

A tutoring job pays $222 for ten hours of work.  If a tutor were to work for a total of thirty-five hours that week, how much will they make?

• $1.58
• $777
• $2
• $685

The number of soft pretzels processed by a machine in a bakery is directly proportional to the
number of minutes that the machine runs. The machine can process 600 pretzels in 10 minutes of
continuous running. How many pretzels would the machine process in 52 minutes of continuous
running?

• 1,200
• 1,500
• 3,120
• 5,200

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and thunder, about how far away was the lightning? 

• 40 miles
• 4/5 miles
• 8 miles
• 20 miles

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the equation of variation?

• y = 10x
• y = 2x
• y = 5x
• y = 1/5x

Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the constant of variation?

• k = 10
• k = 2
• k = 5
• k = 1/5