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Worksheet: Proportional and Nonproportional Relationships

Q1:

At a school book sale, Noah bought 8 books for $88, and Charlotte bought 9 books for $27. Are these rates proportional?

  • Ano
  • Byes

Q2:

Determine whether the quantities in the following rates are proportional: 63 points scored in 7 games and 76 points scored in 10 games.

  • Anot proportional
  • Bproportional

Q3:

In the table below, the numbers in the first row are proportional to the corresponding numbers in the second row. What is the value of 𝑥 ?

3 𝑥
4 6

Q4:

In the table below, the numbers in the first row are proportional to the corresponding numbers in the second row. What is the value of 𝑥 ?

10 𝑥
5 6

Q5:

The table below shows the price to mail a first-class letter for various weights. Is the cost to mail a letter proportional to its weight?

Cost ($) 0.39 0.59 0.79 1.36
Weight (oz) 1 2 3 4
  • Ano
  • Byes

Q6:

Hannah works as a babysitter. The proportional relationship between the number of hours she works and the total amount of money she earns is shown in the graph.

Which of the following statement is NOT true?

  • AThe unit rate of this proportional relationship is $15/hour.
  • BThe point 𝑄 shows that Hannah would earn $60 if she worked 4 hours.
  • CAny point of coordinates ( 𝑥 , 𝑦 ) on this graph shows that Hannah would earn $ 𝑦 if she worked 𝑥 hours.
  • DIf Hannah worked for 4 hours, she would earn $15.
  • EIf Hannah worked for 10 hours, she would earn $150.

Q7:

The following table shows the number of eggs and the amount of flour used to bake cakes at a bakery.

Number of Cakes Number of Egg Flour (in Ounces)
2 10 4.5
3 15 6.75
4 20 9
6 30 13.5

Is the relationship between the number of cakes and the amount of flour proportional?

  • A yes
  • B no

Is the relationship between the number of cakes and the number of eggs proportional?

  • A yes
  • B no

Q8:

A shipping company charges $5.25 to deliver a package. In addition, they charge $0.45 for each pound over 1 lb that the package weighs. Is the cost of shipping a package proportional to the weight of the package?

  • A no
  • B yes

Q9:

The following table represents the number of sites dug by a group of archaeologists and the number of weeks they took. Does the table show a proportional relationship?

Number of Sites 2 3 4
Number of Weeks 12 18 24
  • Ayes
  • Bno

Q10:

A survey showed that 5 out of 7 people wear a watch. Another survey showed that 11 out of 12 people wear a watch. Are these results proportional?

  • Ano
  • Byes

Q11:

Is the length of one side of this shape proportional to its perimeter?

  • A yes
  • B no

Q12:

Consider the relationship between the company’s profit and the time elapsed since the year 2008. How much profit would they need in the year 2016 to make that relationship proportional between the years 2008 and 2016?

  • A85 million
  • B70 million
  • C75 million
  • D80 million
  • E60 million

Q13:

Jennifer walks to school every day. Her school lies at the point shown on the graph and she walks in a line which represents a proportional relationship. Which of the following could represent another ordered pair that satisfies this relationship?

  • A ( 2 0 , 3 0 )
  • B ( 6 0 , 0 )
  • C ( 5 0 , 7 5 )
  • D ( 7 5 , 5 0 )
  • E ( 0 , 6 0 )

Q14:

Jacob built a model of his room using toy blocks. The table shows the dimensions of the room and Jacob’s model respectively. Is his model a proportional representation of his actual room?

Actual Room Arthur’s Model
Height 15 feet 5 blocks
Width 60 feet 10 blocks
Length 75 feet 25 blocks
  • Ano
  • Byes

Q15:

Is the length of one side of the given figure proportional to its area?

  • A no
  • B yes

Q16:

Sophia wants to enlarge a photo that is 4 inches by 6 inches. Which of the following is proportional to the original photo?

  • A 16 in by 20 in
  • B 18 in by 24 in
  • C 20 in by 24 in
  • D 24 in by 36 in
  • E 8 in by 10 in

Q17:

This year, Hannah celebrated her 10th birthday and her brother Daniel celebrated his 5th birthday. Hannah noticed that she is now twice as old as her brother. Is the relationship between their ages proportional?

  • A no
  • B yes

Q18:

Determine whether the quantities in the following rates are proportional: 39 computers for 95 students and 69 computers for 80 students.

  • Anot proportional
  • Bproportional

Q19:

An elevator ascends or goes up at a rate of 750 feet per minute. Is the height to which the elevator ascends proportional to the number of minutes it takes to get there?

  • Ayes
  • Bno