Exploring Proportional Relationships: Graphs 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.

• 6 cups of flour

• 3 cups of flour

• 2 cups of flour

• 4 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.

• 240 miles

• 180 miles

• 200 miles

• 300 miles

A school is planning a field trip and needs to rent buses. Each bus can hold 20 students. If there are 100 students going, how many buses are needed? Write an equation to express this relationship.

• 5

• 4

• 6

• 10

A gardener plants 4 rows of flowers, with 5 flowers in each row. If he wants to plant 20 rows, how many flowers will he need in total? Graph the relationship between the number of rows and total flowers.

• 80 flowers

• 60 flowers

• 120 flowers

• 100 flowers

A store sells 3 notebooks for $4.50. How much would 10 notebooks cost? Write an equation to find the cost of any number of notebooks based on this relationship.

• $12.00

• $18.00

• $10.50

• $15.00

A recipe requires 3 eggs for every 2 cups of milk. If you have 12 eggs, how many cups of milk can you use? Graph the relationship between eggs and cups of milk.

• 6 cups of milk

• 10 cups of milk

• 8 cups of milk

• 4 cups of milk

A cyclist rides 12 miles in 30 minutes. How far can he ride in 1 hour at the same speed? Write an equation to represent the distance traveled over time.

• 24 miles

• 30 miles

• 36 miles

• 18 miles

A factory produces 100 toys in 4 hours. How many toys can it produce in 10 hours? Graph the relationship between hours worked and toys produced.

• 150 toys

• 300 toys

• 200 toys

• 250 toys

A painter can paint 5 rooms in 3 days. How many rooms can he paint in 9 days? Write an equation to express this proportional relationship.

• 12 rooms

• 20 rooms

• 15 rooms

• 10 rooms

A recipe for cookies requires 2 cups of sugar for every 5 cups of flour. If you want to use 10 cups of flour, how much sugar do you need? Graph the relationship between flour and sugar.

• 4 cups of sugar

• 2 cups of sugar

• 6 cups of sugar

• 8 cups of sugar