Exploring Direct Variation: Real-Life Applications Quiz

A car travels at a constant speed. If it travels 60 miles in 1 hour, how far will it travel in 3 hours? Calculate the constant of variation.

• 180 miles

• 120 miles

• 90 miles

• 240 miles

The cost of apples is directly proportional to the weight. If 5 pounds of apples cost $10, how much would 8 pounds cost? Find the constant of variation.

• $12

• $16

• $14

• $20

A recipe requires 2 cups of flour for every 3 cups of sugar. If you use 6 cups of flour, how much sugar do you need? Determine the constant of variation.

• 12 cups of sugar

• 9 cups of sugar

• 3 cups of sugar

• 6 cups of sugar

The number of tickets sold for a concert is directly proportional to the amount of advertising done. If 200 tickets are sold with $500 spent on advertising, how many tickets will be sold with $800? Calculate the constant of variation.

• 320

• 400

• 250

• 500

A painter charges $15 per hour for his work. If he works for 4 hours, how much will he earn? What is the constant of variation?

• The painter will earn $30 and the constant of variation is $5.

• The painter will earn $75 and the constant of variation is $20.

• The painter will earn $45 and the constant of variation is $10.

• The painter will earn $60 and the constant of variation is $15.

The distance a cyclist travels is directly proportional to the time spent cycling. If a cyclist travels 12 miles in 1 hour, how far will they travel in 2.5 hours? Find the constant of variation.

• 15 miles

• 24 miles

• 36 miles

• 30 miles

The amount of gas consumed by a car is directly proportional to the distance traveled. If a car uses 3 gallons of gas to travel 90 miles, how much gas will it use to travel 150 miles? Calculate the constant of variation.

• 6 gallons

• 7 gallons

• 5 gallons

• 4 gallons

A factory produces 100 toys in 5 hours. If the production rate remains constant, how many toys will it produce in 8 hours? Determine the constant of variation.

• 160 toys

• 140 toys

• 200 toys

• 120 toys

The number of pages printed by a printer is directly proportional to the time it is used. If it prints 200 pages in 4 minutes, how many pages will it print in 10 minutes? Calculate the constant of variation.

• 300 pages

• 500 pages

• 600 pages

• 400 pages

A gardener plants 3 rows of flowers for every 2 rows of vegetables. If he plants 12 rows of flowers, how many rows of vegetables does he plant? Find the constant of variation.

• 6 rows of vegetables; constant of variation is 4/3

• 10 rows of vegetables; constant of variation is 2/3

• 8 rows of vegetables; constant of variation is 3/2

• 9 rows of vegetables; constant of variation is 1/2