Unit Rates & Proportional Relationships in Everyday Life

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 4 cups of flour, how many cups of sugar do you need? Is this proportional?

• 8 cups of sugar

• 6 cups of sugar

• 4 cups of sugar

• 2 cups of sugar

A car travels 150 miles on 5 gallons of gas. What is the unit rate of miles per gallon? If the car travels 300 miles, how many gallons of gas will it use? Is this proportional?

• 40 miles per gallon; 7.5 gallons for 300 miles; No, it is not proportional.

• 25 miles per gallon; 12 gallons for 300 miles; No, it is not proportional.

• 35 miles per gallon; 8 gallons for 300 miles; Yes, it is proportional.

• 30 miles per gallon; 10 gallons for 300 miles; Yes, it is proportional.

A store sells 3 notebooks for $6. If you buy 6 notebooks, how much will it cost? Is the cost proportional to the number of notebooks?

• $12

• $9

• $6

• $18

A gardener plants 4 rows of flowers, with 5 flowers in each row. If he plants 6 rows, how many flowers will he have? Is this a proportional relationship?

• 24 flowers, yes, it is a proportional relationship.

• 30 flowers, yes, it is a proportional relationship.

• 36 flowers, yes, it is a proportional relationship.

• 30 flowers, no, it is not a proportional relationship.

A bike rental shop charges $10 for the first hour and $5 for each additional hour. If you rent a bike for 3 hours, how much do you pay? Is this cost proportional to the time rented?

• $20

• $30

• $25

• $15

A factory produces 100 toys in 4 hours. How many toys does it produce in 10 hours? Calculate the unit rate of toys per hour. Is this a proportional relationship?

• 150 toys

• 250 toys

• 300 toys

• 200 toys

A recipe requires 3 eggs for every 2 cups of milk. If you use 6 eggs, how many cups of milk do you need? Is this proportional?

• 6 cups of milk

• 2 cups of milk

• 8 cups of milk

• 4 cups of milk

A school has 120 students and 4 teachers. What is the ratio of students to teachers? If the number of students increases to 240, how many teachers are needed to keep the same ratio? Is this proportional?

• 4 teachers are needed to keep the same ratio.

• 8 teachers are needed to keep the same ratio.

• 10 teachers are needed to keep the same ratio.

• 6 teachers are needed to keep the same ratio.

A car can travel 180 miles on 6 gallons of gas. If it travels 300 miles, how many gallons of gas will it need? Calculate the unit rate and determine if this is proportional.

• 12 gallons

• 15 gallons

• 8 gallons

• 10 gallons

A fruit stand sells 5 apples for $3. If you buy 15 apples, how much will it cost? Is the cost proportional to the number of apples?

• $6

• $15

• $9

• $12