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Worksheet: Determining Proportional Relationships

Q1:

Determine whether the following statement is true or false: A proportion is an equation in which two or more ratios are equal.

  • Atrue
  • Bfalse

Q2:

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

  • Anot proportional
  • Bproportional

Q3:

Determine whether the quantities in the following rates are proportional: 28 computers for 32 students and 84 computers for 96 students.

  • Aproportional
  • Bnot proportional

Q4:

Determine whether the quantities in the following rates are proportional: $40 for 4 bracelets and $36 for 3 bracelets.

  • Anot proportional
  • Bproportional

Q5:

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

  • Anot proportional
  • Bproportional

Q6:

Determine whether the quantities in the following rates are proportional: 3 hours worked for $21 and 6 hours worked for $42.

  • Aproportional
  • Bnot proportional

Q7:

Determine whether the quantities in the following rates are proportional: 8 hours worked for $40 and 9 hours worked for $90.

  • Anot proportional
  • Bproportional

Q8:

Determine whether the quantities in the following pair of rates are proportional: 20 minutes to jog 2 miles and 80 minutes to jog 8 miles.

  • Aproportional
  • Bnot proportional

Q9:

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

Q10:

Determine whether the quantities in the following rates are proportional: 39 out of 45 students own hand-held games and 117 out of 135 students own hand-held games.

  • Aproportional
  • Bnot proportional

Q11:

Determine which of the following pairs of ratios forms a proportion.

  • A for 5 cookies; for 46 cookies
  • B for 5 cookies; for 44 cookies
  • C for 5 cookies; for 47 cookies
  • D for 5 cookies; for 45 cookies

Q12:

Which of the following shows a proportional relationship?

  • A
  • B
  • C
  • D
  • E

Q13:

In which of the following cases is the price proportional to the quantity?

  • A 84 oz costs $6, 42 oz costs $2
  • B 56 oz costs $4, 42 oz costs $2
  • C 84 oz costs $6, 42 oz costs $4
  • D 56 oz costs $4, 84 oz costs $6

Q14:

In which of the following cases is the price proportional to the quantity?

  • A 64 oz costs $8, 60 oz costs $5
  • B 56 oz costs $7, 60 oz costs $5
  • C 64 oz costs $8, 60 oz costs $7
  • D 56 oz costs $7, 64 oz costs $8

Q15:

Determine which of the following pairs of ratios forms a proportion.

  • A for 2 cookies; for 15 cookies
  • B for 2 cookies; for 13 cookies
  • C for 2 cookies; for 16 cookies
  • D for 2 cookies; for 14 cookies

Q16:

Determine which quantities in the following rates are proportional.

  • A 70 miles on 2 gallons; 7 miles on 0.5 gallons
  • B 70 miles on 2 gallons; 7 miles on 2 gallons
  • C 70 miles on 2 gallons; 10 miles on 3 gallons
  • D 70 miles on 2 gallons; 7 miles on 0.2 gallons

Q17:

Determine which quantities in the following rates are proportional.

  • A 20 miles on 4 gallons; 6 miles on 0.5 gallons
  • B 20 miles on 4 gallons; 2 miles on 4 gallons
  • C 20 miles on 4 gallons; 10 miles on 3 gallons
  • D 20 miles on 4 gallons; 4 miles on 0.8 gallons

Q18:

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

Q19:

Amelia has 2 cookie recipes. The first one needs 7 cups of flour to make 98 cookies, and the second needs 8 cups of flour to make 96 cookies. Are these rates proportional?

  • Ano
  • Byes

Q20:

On their way to Oregon, Jennifer and Benjamin drove 760 miles in 5 hours before stopping for dinner. After dinner, they drove 450 miles in 9 hours before stopping for gas. Are these rates proportional?

  • Ano
  • Byes

Q21:

James and Hannah organized a fundraising car wash for charity. James raised $747 by washing 83 cars, and Hannah raised $410 by washing 82 cars. Are both amounts proportional?

  • ANo
  • BYes

Q22:

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

Q23:

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

Q24:

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

10 20 30
  • Ayes
  • Bno

Q25:

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

Q26:

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

Q27:

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

Q28:

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 ($) 0.48 0.63 0.78 1.18
Weight (oz) 1 2 3 4
  • Ano
  • Byes

Q29:

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

Q30:

William stopped by five printing houses to see how much each shop charges for normal black-and-white copies. Determine which two printing houses have proportional rates.

Shop Number of Copies Cost
Trigger 15 $0.75
The Print House 76 $2.00
Xerox 19 $0.50
Cannon 34 $2.10
Kraft Print Services 75 $2.20
  • ACannon and Kraft Print Services
  • BXerox and Trigger
  • CThe Print House and Cannon
  • DXerox and The Print House

Q31:

The given table shows the lengths of some animals with long tails in millimeters. Do opossums and Prairie dogs have the same body-to-tail length proportions?

Animal Head and Body Tail
Brown Rat 240 180
Hamster 250 50
Lemming 125 25
Opossum 480 360
Prairie Dog 280 40
  • Ano
  • Byes