Free Printable Comparing Proportional Relationships 7PAR4.8

1.

Sia saves 25 dollar per month. Miguel's savings are shown in the graph. After two months, how much more would Sia have saved than Miguel?

a)

$10

b)

$20

c)

$30

d)

$40

2.

Based on the graph, what is the slope (rate of change) of a canoe rental?

a)

$6 per hour

b)

$12 per hour

c)

$24 per hour

d)

$1 per 12 hours

3.

Write an equation to show the proportional relationship in the graph.

a)

y=¹/₅₂x

b)

y=104x

c)

y=52x

d)

y=¹/₁₀₄x

4.

Write an equation to represent the proportional relationship shown in the table.

a)

y=12x

b)

y=4x

c)

y=¼x

d)

y=¹²/₃x

5.

Which pizzeria makes more money?

a)

Pizzeria W

b)

Pizzeria L

c)

They both make the same amount

6.

Review: What makes this graph not proportional?

a)

does not have a constant unit rate/slope

b)

is not straight line

c)

does not pass through (0,0)

7.

Select all true statements

a)

A is not proportional but B is

b)

both pass through (0,0)

c)

y = 3x is the equation for table A

d)

y = 4x is the equation for table B

e)

if graphed, these tables would make the same line

8.

Which company charges the lowest price per hour to rent a raft?

a)

Water's Edge Rafts

b)

Ryan's Rafts

c)

They charge the same rate per hour

9.

The graph shows the number of headphones produced by Soundtech. NewSounds produces 175 headphones per hour.

Which statement is true?

a)

NewSounds produces headphones at a faster rate.

b)

Soundtech produces headphones at a faster rate.

c)

Both companies produce headphones at the same rate.

d)

Neither company is producing headphones at a constant rate.

10.

The equation y=²³/₂x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?

a)

Store A

b)

Store B

c)

They both have the same price

11.

Write an equation to show the proportional relationship in the graph.

a)

y=¹/₅₂x

b)

y=104x

c)

y=52x

d)

y=¹/₁₀₄x

12.

Write an equation to represent the proportional relationship shown in the table.

a)

y=12x

b)

y=4x

c)

y=¼x

d)

y=¹²/₃x

13.

Which pizzeria makes more money?

a)

Pizzeria W

b)

Pizzeria L

c)

They both make the same amount

14.

Review: Is this proportional?

a)

yes

b)

no

15.

Review: What makes this graph not proportional?

a)

does not have a constant unit rate/slope

b)

is not straight line

c)

does not pass through (0,0)

16.

Select the true statements related to the graph comparison.

a)

neither are proportional

b)

they have different constants of proportionality (k)

c)

graph A is steeper than graph B

d)

the constant of proportionality (k) for both is 4

e)

the constant of proportionality (k) for both is 1/4

17.

Select the true statements.

a)

graph A is not proportional but B is

b)

graph B is less steep than graph A

c)

graph B passes through the origin and A does not

d)

the constant of proportionality of graph B is less than A

e)

both are straight lines

18.

Select all true statements

a)

A is not proportional but B is

b)

both pass through (0,0)

c)

y = 3x is the equation for table A

d)

y = 4x is the equation for table B

e)

if graphed, these tables would make the same line

19.

Does this graph represent this table?

a)

yes

b)

no

20.

Write an equation to show the proportional relationship in the graph.

a)

y=¹/₅₂x

b)

y=104x

c)

y=52x

d)

y=¹/₁₀₄x

21.

The graph shows the proportional relationship between the number of days Restaurant T is open and how many people they served. The equation y=82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

22.

The equation y=²³/₂x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?

a)

Store A

b)

Store B

c)

They both have the same price

23.

Is this equation y = 14x showing proportionality?

a)

yes

b)

no

24.

Write an equation for this relationship.

a)

y=18x

b)

y=18.50x

c)

y=22.50x

d)

y=22x

25.

Is this table proportional?

a)

Yes

b)

No

26.

Is this graph proportional?

a)

Yes

b)

No

27.

What makes a graph proportional?

a)

Linear

b)

The line goes through the origin

c)

Curvy line

d)

Linear and the line goes through the origin

28.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

29.

Which line shows a proportional relationship between x and y?

a)

Line L

b)

Line M

30.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14

31.

What is the constant of proportionality (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

32.

Determine which equation does NOT represent a proportional relationship.

a)

y = -2x

b)

y = 1/2 x

c)

y = 3x

d)

y = 5x - 7

33.

Which company charges the lowest price per hour to rent a raft?

a)

Water's Edge Rafts

b)

Ryan's Rafts

c)

They charge the same rate per hour

34.

Who can type more words per minute?

a)

Braden

b)

Omar

c)

They both have the same rate of change

35.

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

a)

Brandi's luggage weighs more because it weighs 40 lbs per bag.

b)

Javier's luggage weighs more because it weighs 40lbs per bag.

c)

Brandi's luggage weighs more because it weighs 30 lbs per bag.

d)

Javier's luggage weighs more because it weighs 30 lbs per bag.

36.

Who spends more per day?

a)

Kameron

b)

Myriah

c)

They have spend the same amount each day.

37.

The graph shows the number of headphones produced by Soundtech. NewSounds produces 175 headphones per hour.

Which statement is true?

a)

NewSounds produces headphones at a faster rate.

b)

Soundtech produces headphones at a faster rate.

c)

Both companies produce headphones at the same rate.

d)

Neither company is producing headphones at a constant rate.

38.

Who uses fewer gallons of gas per mile?

a)

Troy

b)

Lucy

c)

They use the same amount of gas per mile

39.

Which company has the cheaper price per pound?

a)

There is not enough information to determine the price per pound.

b)

Carmine's Candy

c)

Both candy stores have the same price per pound.

d)

Sam's Candy Shoppe

40.

Carla and Brandon are members of two different magazine programs where any magazine ordered is the same price, regardless of the magazine ordered.

Carla pays $17.76 for 8 magazines.

The equation below represents the amount of money Brandon pays for x magazines.

y = $2.88x

Who pays more per magazine?

a)

Brandon pays more per magazine.

b)

There is not enough information to determine the price per magazine.

c)

Brandon and Carla pay the same price per magazine.

d)

Carla pays more per magazine.

41.

The equation below represents the amount of a discount for an item that costs x dollars at store A. y = 0.2x

The graph represents the amount of a discount for an item that costs x dollars at store B.

Which store is offering the greater discount?

a)

Store A is offering the greater discount.

b)

Store A and store B are offering the same discount.

c)

Store B is offering the greater discount.

d)

There is not enough information to determine the amount of the discount.

42.

Compare the constant of proportionality of the following equation and graph by determining which line is steeper.

a)

The line represented by the equation has the same steepness as the line shown in the graph.

b)

There is not enough information to determine the steepness of the lines.

c)

The line represented by the equation is steeper than the line shown in the graph.

d)

The line shown in the graph is steeper than the line represented by the equation.

43.

Mr. Berry recorded the amount of water he used per minute in the graph. Mrs. Hendren wrote the equation y = 4.5x to represent her water use. Mrs. Lewis used 66 gallons in 12 minutes. Which statement is true?

a)

Mrs. Lewis used 0.5 gallons per minute more water than Mr. Berry.

b)

Mr. Berry used 0.5 gallons per minute more water than Mrs. Lewis.

c)

Mrs. Hendren used 0.5 gallons per minute more water than Mrs. Lewis.

d)

Mrs. Lewis used 0.5 gallons per minute more water than Mrs. Hendren.

44.

a)

Store A

b)

Store B

c)

Store C

45.

Johnathan saves $25 per month. Who saves more, Miguel or Johnathan?

a)

Johnathan

b)

Miguel

c)

They save the same amount.

46.

The graph shows the proportional relationship between the number of days, x, Restaurant T is open and how many people they served, y. The equation y = 82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

47.

The equation y = 11.5x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?

a)

Store A

b)

Store B

c)

They both have the same price

48.

Which pizzeria makes more money?

a)

Pizzeria W

b)

Pizzeria L

c)

They both make the same amount

49.

The graph shows the proportional relationship between the number of days Restaurant T is open and how many people they served. The equation y=82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

50.

The equation y=²³/₂x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?

a)

Store A

b)

Store B

c)

They both have the same price

51.

Review: Is this proportional?

a)

yes

b)

no

52.

Review: What makes this graph not proportional?

a)

does not have a constant unit rate/slope

b)

is not straight line

c)

does not pass through (0,0)

53.

The graph shows the proportional relationship between the number of days Restaurant T is open and how many people they served. The equation y=82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

54.

The equation y=²³/₂x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?

a)

Store A

b)

Store B

c)

They both have the same price

55.

What makes a graph proportional?

a)

Linear

b)

The line goes through the origin

c)

Curvy line

d)

Linear and the line goes through the origin

56.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14

57.

Is this graph proportional?

a)

Yes

b)

No

58.

8. Find the unit rate of $97.50 for 15 pizzas.

a)

$6 per pizza

b)

$82.50 per pizza

c)

$5.50 per pizza

d)

$6.50 per pizza

59.

Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.

a)

85

b)

65

c)

60

d)

70

60.

Is this table proportional?

a)

Yes

b)

No

61.

What is the unit rate?

a)

80 miles in 1 hours

b)

20 miles in 1 hours

c)

40 miles in 1 hours

d)

160 miles in 1 hours

62.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

63.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

64.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

65.

Samantha drives at a rate of 30 mph. Tracy drives at a rate of 60 miles every 2 hours. Who drives faster?

a)

Samantha

b)

Tracy

c)

They drive the same speed per hour

66.

Johnathan saves 25 per month. Who saves more, Miguel or Johnathan?

a)

Johnathan

b)

Miguel

c)

They save the same amount.

67.

Which table shows a proportional relationship?

a)

A

b)

B

c)

C

d)

D

68.

What is the Constant of Proportionality of the Table?

a)

3

b)

1/3

c)

1/2

d)

6

69.

Ross walked 7 miles in 2 hours. What is his unit rate of miles per hour?

a)

3.5 miles per hour

b)

7/2 miles per hour

c)

7.2 miles per hour

d)

3 miles per hour

70.

8. Find the unit rate of $97.50 for 15 pizzas.

a)

$6 per pizza

b)

$82.50 per pizza

c)

$5.50 per pizza

d)

$6.50 per pizza

71.

a)

Farmer's Market

b)

Grocery Store

c)

Plums cost the same amount at the farmer's market and the grocery store.

72.

a)

Becky's Shower

b)

Rachel's Shower

c)

They use the same amount of water

73.

Review: Is this proportional?

a)

yes

b)

no

74.

Review: What makes this graph not proportional?

a)

does not have a constant unit rate/slope

b)

is not straight line

c)

does not pass through (0,0)

75.

Select the true statements related to the graph comparison.

a)

neither are proportional

b)

they have different constants of proportionality (k)

c)

graph A is steeper than graph B

d)

the constant of proportionality (k) for both is 4

e)

the constant of proportionality (k) for both is 1/4

76.

Select the true statements.

a)

graph A is not proportional but B is

b)

graph B is less steep than graph A

c)

graph B passes through the origin and A does not

d)

the constant of proportionality of graph B is less than A

e)

both are straight lines

77.

Select all true statements

a)

A is not proportional but B is

b)

both pass through (0,0)

c)

y = 3x is the equation for table A

d)

y = 4x is the equation for table B

e)

if graphed, these tables would make the same line

78.

Does this graph represent this table?

a)

yes

b)

no

79.

Write an equation to show the proportional relationship in the graph.

a)

y=¹/₅₂x

b)

y=104x

c)

y=52x

d)

y=¹/₁₀₄x

80.

Write an equation to represent the proportional relationship shown in the table.

a)

y=12x

b)

y=4x

c)

y=¼x

d)

y=¹²/₃x

81.

Which pizzeria makes more money?

a)

Pizzeria W

b)

Pizzeria L

c)

They both make the same amount

82.

The graph shows the proportional relationship between the number of days Restaurant T is open and how many people they served. The equation y=82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

83.

The equation y=²³/₂x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?

a)

Store A

b)

Store B

c)

They both have the same price

84.

Jack and Eshan were running laps in gym. Which student was running faster and by how much?

a)

Jack is faster and after 6 minutes he will have run 8 more laps

b)

Eshan is faster and after 6 minutes he will have run 8 more laps

c)

Impossible to tell

85.

A Jam company is trying out a new recipe. The graph shows the old recipe and the table shows the new recipe. Which recipe uses more sugar per jar of jam?

a)

The old recipe

b)

The new recipe

c)

Impossible to tell

86.

Which company charges the lowest price per hour to rent a raft?

a)

Water's Edge Rafts

b)

Ryan's Rafts

c)

They charge the same rate per hour

87.

Who can type more words per minute?

a)

Braden

b)

Omar

c)

They both have the same rate of change

88.

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

a)

Brandi's luggage weighs more because it weighs 40 lbs per bag.

b)

Javier's luggage weighs more because it weighs 40lbs per bag.

c)

Brandi's luggage weighs more because it weighs 30 lbs per bag.

d)

Javier's luggage weighs more because it weighs 30 lbs per bag.

89.

Who spends more per day?

a)

Kameron

b)

Myriah

c)

They have spend the same amount each day.

90.

Who uses fewer gallons of gas per mile?

a)

Troy

b)

Lucy

c)

They use the same amount of gas per mile

91.

Which company has the cheaper price per pound?

a)

There is not enough information to determine the price per pound.

b)

Carmine's Candy

c)

Both candy stores have the same price per pound.

d)

Sam's Candy Shoppe

92.

a)

Store A

b)

Store B

c)

Store C

93.

The graph shows the proportional relationship between the number of days, x, Restaurant T is open and how many people they served, y. The equation y = 82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

94.

Write an equation for this relationship.

a)

y=18x

b)

y=18.50x

c)

y=22.50x

d)

y=22x

95.

The graph shows the proportional relationship between the number of days Restaurant T is open and how many people they served. The equation y=82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

96.

Write an equation to show the proportional relationship in the graph.

a)

y=¹/₅₂x

b)

y=104x

c)

y=52x

d)

y=¹/₁₀₄x

97.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14

98.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

99.

What makes a graph proportional?

a)

Linear

b)

The line goes through the origin

c)

Curvy line

d)

Linear and the line goes through the origin

100.

Is this graph proportional?

a)

Yes

b)

No

101.

Write an equation for this relationship.

a)

y=18x

b)

y=18.50x

c)

y=22.50x

d)

y=22x

102.

Ross walked 7 miles in 2 hours. What is his unit rate of miles per hour?

a)

3.5 miles per hour

b)

7/2 miles per hour

c)

7.2 miles per hour

d)

3 miles per hour

103.

8. Find the unit rate of $97.50 for 15 pizzas.

a)

$6 per pizza

b)

$82.50 per pizza

c)

$5.50 per pizza

d)

$6.50 per pizza

104.

Which pizzeria makes more money?

a)

Pizzeria W

b)

Pizzeria L

c)

They both make the same amount

105.

Review: What makes this graph not proportional?

a)

does not have a constant unit rate/slope

b)

is not straight line

c)

does not pass through (0,0)

106.

What is the unit rate?

a)

80 miles in 1 hours

b)

20 miles in 1 hours

c)

40 miles in 1 hours

d)

160 miles in 1 hours

107.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

108.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

109.

Johnathan saves 25 per month. Who saves more, Miguel or Johnathan?

a)

Johnathan

b)

Miguel

c)

They save the same amount.

110.

What is the Constant of Proportionality of the Table?

a)

3

b)

1/3

c)

1/2

d)

6

111.

a)

Farmer's Market

b)

Grocery Store

c)

Plums cost the same amount at the farmer's market and the grocery store.

112.

a)

Becky's Shower

b)

Rachel's Shower

c)

They use the same amount of water

113.

Write an equation for this relationship.

a)

y=1/5x

b)

y=1/2x

c)

y=2x

d)

y=5x

114.

Which line shows a proportional relationship between x and y?

a)

Line L

b)

Line M

115.

What is the unit rate in this proportional relationship?

a)

60 miles/1 hour

b)

120 miles/ 2 hours

c)

1 mile/ 1 hour

116.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

117.

Which graph is non-proportional?

a)

A

b)

B

c)

C

d)

D

118.

The cost of 4 pounds of grapes is $24.36. What is the constant of proportionality that relates cost in dollars, y, to the number of pounds of grapes, x?

a)

6.09

b)

20.36

c)

8.12

d)

28.36

119.

What makes a graph proportional?

a)

Straight Line

b)

The line goes through (0,0)

c)

Curvy line

d)

Straight line and passes through (0,0)

120.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

121.

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?

a)

$12

b)

$1.50

c)

$3

d)

$1

122.

What is the constant of proportionality?

a)

15

b)

5

c)

75

d)

25

123.

What is the constant of proportionality (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

124.

Which equation matches the graph?

a)

y = 8x

b)

y = 1x

c)

y = 3x

d)

y = 16x

125.

What is the unit rate in this proportional relationship?

a)

60 miles/1 hour

b)

120 miles/ 2 hours

c)

1 mile/ 1 hour

126.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

127.

Why does this graph show a non-proportional relationship?

a)

Because it is proportional

b)

It goes through the origin

c)

It does not go through the origin

d)

It is a straight line

128.

A machine packs boxes at a constant rate of 2/3 a box every 1/2 a minute. What is the number of boxes it packs per minute?

a)

1/3

b)

3/4

c)

7/6

d)

4/3

129.

A store sees 120 customers in 8 hours. What is the constant of proportionality?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

130.

The constant of proportionality can be found by finding the __________ _____________.

a)

unit rate

b)

ratio rate

c)

proportion answer

d)

rational number

131.

A proportional relationship can be written as an equation in the form ____ = _____ _____

a)

y = k+x

b)

y = k-x

c)

y = kx

d)

y = k/x

132.

On Saturday, Dr. Morrison drove 340 miles in 5 hours. On Sunday, he drove 198 in 3 hours. Based on this information, which statement is true?

a)

His rate on Saturday was 2 miles per hour slower than his rate on Sunday.

b)

His rate on Sunday was 2 miles per hour slower than his rate on Saturday.

c)

His rate on Saturday was the same as his rate on Sunday.

d)

His rate on Sunday was 2 miles per hour faster than his rate on Saturday.

133.

What is the missing value for x?

a)

21

b)

27

c)

30

d)

45

134.

According to the graph, what is the cost for 4 pounds of bananas?

a)

20 cents

b)

60 cents

c)

100 cents

d)

150 cents

135.

Maria makes $15 an hour babysitting. What equation can be used to represent the amount of money she makes per hour?

a)

y = x + 15

b)

y = 15x

c)

y = 15/x

d)

y = 15 - x

136.

If Maria makes $15 an hour for babysitting, how much money would she make for 5 hours?

a)

$3

b)

$10

c)

$20

d)

$75

137.

What is k in this proportional relationship?

a)

60

b)

120

c)

1

d)

180

138.

The graph shows the number of headphones produced by Soundtech. NewSounds produces 175 headphones per hour.

Which statement is true?

a)

NewSounds produces headphones at a faster rate.

b)

Soundtech produces headphones at a faster rate.

c)

Both companies produce headphones at the same rate.

d)

Neither company is producing headphones at a constant rate.

139.

Does the equation show a proportional relationship?

a)

Yes

b)

No

140.

Which of the equations below is proportional?

a)

y = 6x

b)

y = 3x + 2

c)

y = 2x + 4

d)

y = -2x -1

141.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

142.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

143.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

144.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

145.

The graph shows the proportional relationship between the number of days Restaurant T is open and how many people they served. The equation y=82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

146.

Who spends more per day?

a)

Kameron

b)

Myriah

c)

They have spend the same amount each day.

147.

Compare the constant of proportionality of the following equation and graph by determining which line is steeper.

a)

The line represented by the equation has the same steepness as the line shown in the graph.

b)

There is not enough information to determine the steepness of the lines.

c)

The line represented by the equation is steeper than the line shown in the graph.

d)

The line shown in the graph is steeper than the line represented by the equation.

148.

a)

Store A

b)

Store B

c)

Store C

Comparing Proportional Relationships 7PAR4.8

Total questions: 148

Worksheet time: 11hrs 25mins

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