Solving Proportional Word Problems in Everyday Life

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

• 3/2

• 1/3

• 2/3

• 4/3

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours? What is the constant of proportionality for distance and time?

• 180 miles

• 240 miles

• 90 miles

• 120 miles

A gardener plants 5 rows of flowers, with each row containing 8 flowers. What is the constant of proportionality between the number of rows and the total number of flowers?

• 5

• 40

• 3

• 8

A school is organizing a field trip and charges $15 per student. If 20 students sign up, what is the total cost? What is the constant of proportionality between the number of students and the total cost?

• Total cost: $400; Constant of proportionality: $20

• Total cost: $250; Constant of proportionality: $10

• Total cost: $300; Constant of proportionality: $5

• Total cost: $300; Constant of proportionality: $15

A painter can paint 4 walls in 2 hours. How many walls can he paint in 5 hours? What is the constant of proportionality for walls painted over time?

• 12 walls, constant of proportionality is 3 walls per hour

• 6 walls, constant of proportionality is 1.5 walls per hour

• 10 walls, constant of proportionality is 2 walls per hour

• 8 walls, constant of proportionality is 1 wall per hour

A recipe requires 3 eggs for every 2 cups of milk. If you use 6 eggs, how many cups of milk do you need? What is the constant of proportionality?

• 3 cups of milk, constant of proportionality is 0.75

• 2 cups of milk, constant of proportionality is 0.5

• 4 cups of milk, constant of proportionality is 0.6667

• 6 cups of milk, constant of proportionality is 1

A bike rental shop charges $10 for the first hour and $5 for each additional hour. If a customer rents a bike for 4 hours, what is the total cost? What is the constant of proportionality for hours rented and cost?

• Total cost: $25; Constant of proportionality: $5 per hour.

• Total cost: $15; Constant of proportionality: $3 per hour.

• Total cost: $30; Constant of proportionality: $6 per hour.

• Total cost: $20; Constant of proportionality: $4 per hour.

A factory produces 100 toys in 5 hours. How many toys does it produce in 10 hours? What is the constant of proportionality for toys produced over time?

• 150 toys, constant of proportionality is 15 toys/hour

• 250 toys, constant of proportionality is 25 toys/hour

• 100 toys, constant of proportionality is 10 toys/hour

• 200 toys, constant of proportionality is 20 toys/hour

A car can travel 150 miles on 5 gallons of gas. How many miles can it travel on 8 gallons? What is the constant of proportionality for miles per gallon?

• 200 miles, constant of proportionality is 25 miles per gallon

• 300 miles, constant of proportionality is 40 miles per gallon

• 240 miles, constant of proportionality is 30 miles per gallon

• 180 miles, constant of proportionality is 20 miles per gallon

A store sells 3 notebooks for $6. How much would 10 notebooks cost? What is the constant of proportionality between the number of notebooks and the total cost?

• The cost of 10 notebooks is $30, and the constant of proportionality is $3.

• The cost of 10 notebooks is $10, and the constant of proportionality is $1.

• The cost of 10 notebooks is $15, and the constant of proportionality is $1.50.

• The cost of 10 notebooks is $20, and the constant of proportionality is $2.