Identifying Proportional vs. Non-Proportional Problems

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 4 cups of flour, how many cups of sugar will you need? Is this a proportional relationship?

• 8 cups of sugar

• 2 cups of sugar

• 6 cups of sugar

• 4 cups of sugar

A car travels 60 miles in 1 hour. How far will it travel in 3 hours? Is the relationship between time and distance proportional?

• 180 miles

• 240 miles

• 120 miles

• 90 miles

A gardener plants 5 trees in 2 hours. How many trees can he plant in 8 hours? Is this a proportional relationship?

• 20 trees. Yes, this is a proportional relationship.

• 10 trees. Yes, this is a proportional relationship.

• 25 trees. Yes, this is a proportional relationship.

• 15 trees. No, this is not a proportional relationship.

A store sells 3 notebooks for $6. If you buy 9 notebooks, how much will it cost? Is this a proportional relationship?

• $18

• $24

• $12

• $30

A recipe requires 4 eggs for 12 cookies. If you want to make 24 cookies, how many eggs do you need? Is this a proportional relationship?

• 12 eggs

• 8 eggs

• 10 eggs

• 6 eggs

A train travels 150 miles in 2 hours. If it continues at the same speed, how far will it travel in 5 hours? Is this a proportional relationship?

• 450 miles

• 300 miles

• 600 miles

• 375 miles

A painter charges $200 for 5 hours of work. If he works for 10 hours, how much will he charge? Is this a proportional relationship?

• $400

• $600

• $300

• $500

A car uses 1 gallon of gas to travel 25 miles. How many gallons will it use to travel 100 miles? Is this a proportional relationship?

• 8 gallons

• 2 gallons

• 4 gallons

• 6 gallons

A school has 300 students and 15 teachers. If the number of students increases to 600, how many teachers will be needed to maintain the same ratio? Is this a proportional relationship?

• 25 teachers

• 35 teachers

• 20 teachers

• 30 teachers

A recipe calls for 3 cups of water for every 5 cups of rice. If you use 9 cups of rice, how many cups of water do you need? Is this a proportional relationship?

• 3 cups of water

• 4.5 cups of water

• 5.4 cups of water

• 6 cups of water