Proportional Relationships: Solve & Graph with Ease

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

• 1.5

• 0.75

• 1.0

• 2.0

2. If a car travels 60 miles in 1 hour, how far will it travel in 3 hours? What is the constant of proportionality in this scenario?

• 180 miles

• 120 miles

• 240 miles

• 90 miles

3. A gardener plants 5 rows of flowers, with each row containing 8 flowers. If the number of flowers is proportional to the number of rows, what is the constant of proportionality?

• 3

• 5

• 40

• 8

4. A school sells tickets for a play at $5 each. If a student buys 'x' tickets, write an equation to represent the total cost and solve for 'x' if the total cost is $30.

• 5

• 7

• 10

• 6

5. A map shows that 1 inch represents 10 miles. If a road on the map is 4 inches long, how many miles does it represent? What is the constant of proportionality?

• 20 miles

• 40 miles

• 50 miles

• 30 miles

6. A recipe calls for 4 eggs for every 3 cups of milk. If you have 12 eggs, how many cups of milk can you use?

• 9 cups of milk

• 3 cups of milk

• 12 cups of milk

• 6 cups of milk

7. A bike rental shop charges $15 for the first hour and $5 for each additional hour. If 'h' represents the total hours rented, write an equation for the total cost and find the cost for 4 hours.

• $35

• $20

• $30

• $25

8. A factory produces 200 toys in 5 hours. If the production rate is constant, how many toys will it produce in 8 hours? What is the constant of proportionality?

• 400 toys, constant of proportionality is 60

• 320 toys, constant of proportionality is 40

• 280 toys, constant of proportionality is 30

• 250 toys, constant of proportionality is 50

9. A car can travel 240 miles on 8 gallons of gas. What is the constant of proportionality for miles per gallon? How far can it travel on 10 gallons?

• 280 miles

• 300 miles

• 200 miles

• 250 miles

10. A painter can paint 3 rooms in 2 days. If the work is proportional, how many rooms can he paint in 5 days? What is the constant of proportionality?

• 7.5 rooms, constant of proportionality is 1.5 rooms per day.

• 5 rooms, constant of proportionality is 1 room per day.

• 6 rooms, constant of proportionality is 1.2 rooms per day.

• 10 rooms, constant of proportionality is 2 rooms per day.