Graphing and Writing Proportional Relationships 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?

• 4/3

• 3/2

• 2/3

• 1/2

If a car travels 150 miles on 5 gallons of gas, what is the constant of proportionality for miles per gallon?

• 30 miles per gallon

• 40 miles per gallon

• 25 miles per gallon

• 35 miles per gallon

A school is planning a field trip and needs to rent buses. If 4 buses can carry 120 students, how many students can 10 buses carry? Write an equation to represent this relationship.

• 240 students

• 180 students

• 150 students

• 300 students

A gardener plants 3 rows of flowers with 12 flowers in each row. What is the constant of proportionality for the number of flowers per row?

• 10

• 12

• 15

• 20

If a store sells 5 pounds of apples for $10, what is the price per pound? Write an equation to represent the cost of apples based on weight.

• $3 per pound

• $1 per pound

• $5 per pound

• $2 per pound

A recipe requires 4 eggs for every 2 cups of milk. If you want to use 6 cups of milk, how many eggs do you need? What is the constant of proportionality?

• 10 eggs

• 12 eggs

• 14 eggs

• 8 eggs

A cyclist travels 30 miles in 2 hours. What is the constant of proportionality for miles per hour? How would you graph this relationship?

• 15 miles per hour

• 10 miles per hour

• 20 miles per hour

• 25 miles per hour

If a car can travel 240 miles on 8 gallons of gas, how many gallons are needed to travel 300 miles? Write an equation to find the number of gallons needed.

• 10 gallons

• 15 gallons

• 12 gallons

• 8 gallons

A factory produces 500 toys in 5 hours. How many toys does it produce in 1 hour? What is the constant of proportionality?

• 100 toys per hour; constant of proportionality is 100.

• 75 toys per hour; constant of proportionality is 75.

• 200 toys per hour; constant of proportionality is 200.

• 50 toys per hour; constant of proportionality is 50.

If a painter can paint 3 rooms in 2 hours, how many rooms can he paint in 5 hours? Write an equation to represent this relationship.

• 7.5 rooms

• 10 rooms

• 5 rooms

• 12 rooms