Solving Proportional Word Problems in 7th Grade

A recipe calls for 2 cups of flour for every 3 cups of sugar. What is the constant of proportionality between flour and sugar?

• 2/3

• 3/2

• 4/3

• 1/3

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours? What is the constant of proportionality for distance and time?

• 240 miles, constant of proportionality is 80 miles per hour.

• 180 miles, constant of proportionality is 50 miles per hour.

• 120 miles, constant of proportionality is 30 miles per hour.

• 180 miles, constant of proportionality is 60 miles per hour.

A gardener plants 5 rows of flowers, with each row containing 8 flowers. What is the constant of proportionality between the number of rows and the total number of flowers?

• 8

• 5

• 3

• 40

A school sells tickets for a play at a rate of $5 per ticket. If a student buys 4 tickets, how much will they spend? What is the constant of proportionality?

• The student will spend $10 and the constant of proportionality is $2.

• The student will spend $25 and the constant of proportionality is $6.

• The student will spend $15 and the constant of proportionality is $4.

• The student will spend $20 and the constant of proportionality is $5.

A car can travel 240 miles on 8 gallons of gas. What is the constant of proportionality for miles per gallon?

• 15 miles per gallon

• 30 miles per gallon

• 20 miles per gallon

• 40 miles per gallon

If a recipe requires 4 eggs for every 2 cups of milk, how many eggs are needed for 6 cups of milk? What is the constant of proportionality?

• 12 eggs

• 8 eggs

• 10 eggs

• 14 eggs

A factory produces 100 toys in 5 hours. How many toys will it produce in 15 hours? What is the constant of proportionality for toys produced over time?

• 300 toys, constant of proportionality is 20 toys per hour

• 400 toys, constant of proportionality is 25 toys per hour

• 150 toys, constant of proportionality is 10 toys per hour

• 200 toys, constant of proportionality is 15 toys per hour

A cyclist rides at a speed of 12 miles per hour. How far will they travel in 2.5 hours? What is the constant of proportionality for speed and distance?

• 40 miles

• 35 miles

• 30 miles

• 25 miles

If a painter can paint 3 rooms in 2 days, how many rooms can they paint in 10 days? What is the constant of proportionality for rooms painted over time?

• 15 rooms, constant of proportionality is 1.5 rooms per day

• 10 rooms, constant of proportionality is 1 room per day

• 20 rooms, constant of proportionality is 2 rooms per day

• 12 rooms, constant of proportionality is 1.2 rooms per day