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Worksheet: Proportional Relationships

Q1:

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

  • Ayes
  • Bno

Q2:

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

Q3:

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

Is William reading at a constant speed? Why?

Time (Minutes) 12 28 36 48 60
Number of Pages 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 𝑝 = π‘š 𝑑 for the number of pages read 𝑝 in 𝑑 minutes.

  • A 𝑝 = 9 + 𝑑
  • B 𝑝 = 4 3 𝑑
  • C 𝑝 = 0 . 7 5 𝑑
  • D 𝑝 = 0 . 7 5 + 𝑑
  • E 𝑝 = 4 3 + 𝑑

Q4:

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

Q5:

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

  • AVictoria
  • BEmma

Q6:

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

Q7:

Consider the data shown below.

Distance 50 60 70 80
Time 10 12 14 16

Does this show a proportional relationship?

  • Ayes
  • Bno

Q8:

An adult elephant drinks about 225 liters 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

Q9:

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

Q10:

At the beginning of the school year, Amelia 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

Q11:

Elizabeth 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 1 2 3
Earning ($) 17.5 35 50
  • Ano
  • Byes

Q12:

MegaMart collects a sales tax equal to 1 1 6 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

Q13:

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

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

Q14:

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

  • Anot proportional
  • Bproportional

Q15:

For the following figure, Natalie 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) 2 5 9
Weight (in Pounds) 16 30 45

Are the brothers’ weights proportional to their ages?

  • Ano
  • Byes

Q17:

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

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

Q18:

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

  • A no
  • B yes

Q19:

Does the following graph show a proportional relationship?

  • Ano
  • Byes

Q20:

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

Q21:

Last week, Olivia 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

Q22:

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

Q23:

To convert a temperature from degrees Celsius to degrees Fahrenheit, multiply the temperature in Celsius by 9 5 and then add 3 2 ∘ . Is a temperature in degrees Celsius proportional to its equivalent temperature in degrees Fahrenheit?

  • A no
  • B yes

Q24:

Anthony 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

Q25:

Michael 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