Worksheet: Proportional Relationships

In this worksheet, we will practice identifying proportional relationships and using them to solve real-world problems.

Q1:

Determine whether the quantities in the following rates are proportional: 820 calories in 5 servings and 800 calories in 4 servings.

• Anot proportional
• Bproportional

Q2:

Mr. Amir asked his students whether the following numbers were terms of a proportion: 4, 20, 7, 35. Yara said they were, while Sarah said they were not. Who was correct?

• AYara
• BSarah

Q3:

Does the following table show a proportional relationship between the number of pages read and the time ?

 𝑡 𝑛 3 4 1 1 2 2 1 4 10 20 30
• Ayes
• Bno

Q4:

Does the following table show a proportional relationship between the number of miles traveled on a bicycle and the time of travel?

 Number of Miles Time (in Hours) 4 12 20 0.25 0.75 1.25
• Ayes
• Bno

Q5:

Mona is working as a part-time babysitter. The following table shows how much she earns and the number of hours she spends babysitting. Does the table show a proportional relationship?

 Number of Hours Earning (\$) 1 2 3 17.5 35 50
• Ano
• Byes

Q6:

For the following square, are the perimeter and side length proportional?

• Ayes
• Bno

Q7:

The graph below shows the relation between distance and time for a moving car. Is there a proportional relationship between the two quantities?

• Ano
• Byes

Q8:

Uptown Pizzeria sells medium pizzas for \$7 each and charges a \$3 delivery fee per order. Is the cost of an order proportional to the number of pizzas ordered?

• A no
• B yes

Q9:

Consider the data shown below.

 Distance Time 50 60 70 80 10 12 14 16

Does this show a proportional relationship?

• Ayes
• Bno

Q10:

An adult elephant drinks about 225 litres of water each day. Is the number of days that an elephant’s water supply lasts for proportional to the number of liters the elephant drinks?

• A yes
• B no

Q11:

At a certain middle school, every homeroom teacher is assigned 28 students. There are 3 teachers who do not have a homeroom. Is the number of students at this school proportional to the number of teachers?

• A no
• B yes

Q12:

At the beginning of the school year, Dina had \$120 in the bank. Each week, she deposits another \$20. Is her account balance proportional to the number of weeks since she started school?

• A no
• B yes

Q13:

MegaMart collects a sales tax equal to of the retail price of each purchase and sends this money to the state government. Is the amount of tax collected proportional to the cost of an item before tax is added?

• A yes
• B no

Q14:

Which of the following tables shows a proportional relationship between the prices and the number of apples?

• A
 Number of Apples Price 5 10 15 20 \$1.50 \$3.00 \$6.00 \$12.00
• B
 Number of Apples Price 5 10 15 20 \$2.00 \$4.00 \$6.00 \$7.00
• C
 Number of Apples Price 5 10 15 20 \$2.50 \$4.50 \$6.50 \$8.50
• D
 Number of Apples Price 5 10 15 20 \$2.00 \$4.00 \$6.00 \$8.00
• E
 Number of Apples Price 5 10 15 20 \$2.50 \$4.00 \$5.50 \$7.00

Q15:

For the following figure, Yasmine thinks that the length of its shorter side is proportional to its area. Do you agree with her?

• Ano
• Byes

Q16:

The following table shows the ages and weights of three brothers.

 Age (in Years) Weight (in Pounds) 2 5 9 16 30 45

Are the brothers’ weights proportional to their ages?

• Ano
• Byes

Q17:

On Saturday, Yara gave away 416 coupons for a free appetiser at a local restaurant. The next day, she gave away about 52 coupons an hour. Is the total number of coupons Yara gave away on Saturday and Sunday proportional to the number of hours she worked on Sunday?

• A no
• B yes

Q18:

Does the following graph show a proportional relationship?

• Ano
• Byes

Q19:

Isabella is using origami sheets to make flowers. The following shows the number of flowers she makes and the number of origami sheets she uses. Is this a proportional relationship?

 Number of Flowers Number of Sheets 1 2 3 4 2 4 6 12
• Ano
• Byes

Q20:

Last week, Dalia bought one gallon of milk for \$3.50. This week, she bought 2 gallons of milk for \$7.50. Is the total money she paid proportional to the number of gallons?

• Ano
• Byes

Q21:

The figure below shows the number of pizzas made by Chloe and the number of tomatoes she used to make them. Does the figure show a proportional relationship?

 Number of Pizzas Number of Tomatoes 5 6 7 8 10 12 14 24
• Ano
• Byes

Q22:

To convert a temperature from degrees Celsius to degrees Fahrenheit, multiply the temperature in Celsius by and then add . Is a temperature in degrees Celsius proportional to its equivalent temperature in degrees Fahrenheit?

• A no
• B yes

Q23:

Shady earns \$18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing?

• A yes
• B no

Q24:

Fady decided to work during the summer. The graph represents the relationship between the money he earns and the time he spends working. Is this relationship proportional?

• Ayes
• Bno

Q25:

The table shows how many pages of a book Nabil has read at different times.

Is Nabil reading at a constant speed? Why?

 Time (Minutes) Number of Pages 12 28 36 48 60 9 21 27 36 45
• Ayes, because the number of pages read is proportional to the reading time
• Bno, because the number of pages read is not proportional to the reading time

What is the constant of proportionality (or unit rate)? What does it represent?

• A0.75 pages per minute,the reading speed
• B60 pages per minute,the total reading time
• C45 pages,the last number of pages
• D9 pages,the first number of pages
• E0.75 pages per minute,the time needed to read a page

Write an equation in the form for the number of pages read in minutes.

• A
• B
• C
• D
• E