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

  • A84 oz costs $6, 42 oz costs $4
  • B56 oz costs $4, 84 oz costs $6
  • C84 oz costs $6, 42 oz costs $2
  • D56 oz costs $4, 42 oz costs $2

Q14:

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

  • A64 oz costs $8, 60 oz costs $7
  • B56 oz costs $7, 64 oz costs $8
  • C64 oz costs $8, 60 oz costs $5
  • D56 oz costs $7, 60 oz costs $5

Q15:

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

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

Q16:

Determine which quantities in the following rates are proportional.

  • A70 miles on 2 gallons; 10 miles on 3 gallons
  • B70 miles on 2 gallons; 7 miles on 0.2 gallons
  • C70 miles on 2 gallons; 7 miles on 0.5 gallons
  • D70 miles on 2 gallons; 7 miles on 2 gallons

Q17:

Determine which quantities in the following rates are proportional.

  • A20 miles on 4 gallons; 10 miles on 3 gallons
  • B20 miles on 4 gallons; 4 miles on 0.8 gallons
  • C20 miles on 4 gallons; 6 miles on 0.5 gallons
  • D20 miles on 4 gallons; 2 miles on 4 gallons

Q18:

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

  • A8 in by 10 in
  • B20 in by 24 in
  • C24 in by 36 in
  • D16 in by 20 in
  • E18 in by 24 in

Q19:

On their way to Oregon, Jessica and Wayne 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

Q20:

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

  • ALorraine
  • BMary

Q21:

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 Sites234
Number of Weeks121824
  • Ayes
  • Bno

Q22:

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

102030
  • Ayes
  • Bno

Q23:

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

Number of Miles41220
Time (in Hours)0.250.751.25
  • Ayes
  • Bno

Q24:

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

Actual RoomArthur’s Model
Height15 feet5 blocks
Width60 feet10 blocks
Length 75 feet25 blocks
  • Ano
  • Byes

Q25:

Anna 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 Hours123
Earning ($)17.53550
  • Ano
  • Byes

Q26:

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 ($)0.480.630.781.18
Weight (oz)1234
  • Ano
  • Byes

Q27:

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 ($)0.390.590.791.36
Weight (oz)1234
  • Ano
  • Byes

Q28:

Justin 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.

ShopNumber of CopiesCost
Trigger15$0.75
The Print House76$2.00
Xerox19$0.50
Cannon34$2.10
Kraft Print Services75$2.20
  • AThe Print House and Cannon
  • BXerox and The Print House
  • CCannon and Kraft Print Services
  • DXerox and Trigger

Q29:

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 Sites234
Number of Weeks121824
  • Ayes
  • Bno

Q30:

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?

AnimalHead and BodyTail
Brown Rat240180
Hamster25050
Lemming12525
Opossum480360
Prairie Dog28040
  • Ano
  • Byes

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