Constant of Proportionality Word Problem

Alycia earned $20.40 in 3 hours. Let the number of hours be x and the money earned be y. What is the constant of proportionality?

• $7 per hour

• $6 per hour

• $6.80 per hour

• $17.40 per hour

Find the constant proportionality of 624 calories in 3 servings.

• 872 calories per serving

• 208 calories per serving

• 624 calories per serving

• 621 calories per serving

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

• $8 per pound

• $35 per pound

• $5 per pound

• 0.125 pounds per dollar

Which of the following statements is TRUE about the graph? Choose all that apply.

• The point (2, 8) shows that 8 pounds of cheese cost$2.00.

• The point (1.5, 6) shows the cost is $6.00 for 1.5pounds of cheese.

• The point (0.75, 3) shows that 0.75 pound of cheesecosts $3.00.

• The point (0.25, 1) shows the cost is $0.25 for 1pound of cheese.

• The point (0, 0) shows the cost is $0.00 for 0 pounds of cheese

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

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 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

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

• $440

• $472.80

• $512.20

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the constant of variation?

• k = 13

• k = 65

• k = 5

• k = 1/13