Exploring Proportional Relationships and Equations

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to use 6 cups of sugar, how many cups of flour do you need? Write an equation to represent this relationship.

• 3 cups of flour

• 2 cups of flour

• 4 cups of flour

• 6 cups of flour

A car travels 150 miles on 5 gallons of gas. How many miles can it travel on 8 gallons of gas? Graph the relationship between gallons of gas and miles traveled.

• 180 miles

• 240 miles

• 200 miles

• 220 miles

If 4 notebooks cost $12, how much would 10 notebooks cost? Write an equation to express the cost of notebooks as a function of the number of notebooks.

• $24

• $36

• $15

• $30

A map shows that 1 inch represents 20 miles. If two cities are 3 inches apart on the map, how far apart are they in real life? Create a graph to show the relationship between inches on the map and miles in reality.

• 40 miles

• 80 miles

• 60 miles

• 100 miles

A gardener plants 5 rows of flowers, with 8 flowers in each row. If he wants to plant 12 rows, how many flowers will he need? Write an equation to represent the total number of flowers needed.

• 100

• 96

• 80

• 60

A recipe requires 3 eggs for every 2 cups of milk. If you have 9 eggs, how many cups of milk can you use? Graph the relationship between eggs and cups of milk.

• 6 cups of milk

• 4 cups of milk

• 8 cups of milk

• 10 cups of milk

A school is planning a field trip and needs to rent buses. If each bus can hold 15 students, how many buses are needed for 60 students? Write an equation to find the number of buses required.

• 3

• 2

• 4

• 5

If a car can travel 240 miles on 8 gallons of gas, how many gallons are needed to travel 360 miles? Create a graph to illustrate the relationship between gallons of gas and miles driven.

• 12 gallons

• 10 gallons

• 15 gallons

• 8 gallons

A painter uses 4 liters of paint to cover 100 square meters. How much paint is needed to cover 250 square meters? Write an equation to represent the amount of paint needed based on the area covered.

• 10 liters

• 15 liters

• 20 liters

• 5 liters