M1 Proportional Relationships Review

Module 1 Review:
Proportional Relationships

Multiple Choice

City Carpet advertises that they can install 1,200 square feet of carpet in 2 1/2 hours. They charge $40 per hour for a special install of 1,920 square feet. How much will they charge?

• $40

• $100

• $120

• $160

Math Response

Jana ran the first 3 miles of a 5-mile race in 1/3 hour. What was her average rate, in miles per hour, for this first part of the race?

Average rate = __ miles per hour

Type answer here

Correct Answer: 9

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Explanation Slide...

Divide 3 miles by 1/3 hour.

Math Response

Elliott is designing his garden. For every 2 red roses, he plans to plant 5 blue delphiniums. Using only these two types of flowers, he plans to plant 16 roses in his garden. How many delphiniums will Elliott use?

_____ delphiniums

Type answer here

Correct Answer: 40

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Labelling

Jenny is using a recipe to make a batch of fruit punch. The ingredients are listed in quarts (qt) and she needs to convert them to liters (L). Use 1 qt = 0.946 L. Complete the table to determine the equivalent amounts. Round to the nearest tenth as needed.

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9.5 L

11.4 L

12.7 L

15.9 L

14.2 L

8.5 L

Math Response

A painter can paint 150 square feet per hour. He charges $0.33 per square foot. Today he paints for 4.5 hours. How much will he charge?

$_________

Type answer here

Correct Answer: 222.75

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Math Response

On average, Anna can drive 31 miles on every gallon of gasoline. If she fills up her tank for $2.19 per gallon, how much will it cost her to drive 434 miles?

Type answer here

Correct Answer: 30.66

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Math Response

The graph shows the total number of markers in 1, 2, 3, and 4 boxes of markers. What is the constant of proportionality?

Type answer here

Correct Answer: 8

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Multiple Select

Which of the following ways can be used to determine whether a linear relationship is proportional? Select all that apply.

• The equation is in y = kx form.

• The equation is in y = mx + b form.

• In a table, the ratios are not equivalent.

• In a graph, the line passes through the origin.

• The graph of the relationship is a straight line.

Math Response

The Smith family was taking a road trip. They traveled 390 miles in 6 hours. Write an equation relating their miles traveled, y, and the number of hours, x.

Type answer here

Correct Answer: y=65x

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Dropdown

A veterinarian recorded a cat's resting heart rate to be 120 beats over a 45-second time period. Complete the table to find the number of heartbeats in different amounts of time. Then find the constant of proportionality in beats per minute.

0.25 = ​

Select answer

0.5 = ​

Select answer

0.75 = ​

Select answer

1 = ​

Select answer

Constant of proportionality = ​

Select answer

beats per minute

Drag and Drop

The table shows the cost to rent a jet ski from two different stores for 0, 1, 2, and 3 hours. Is either relationship proportional? Explain your reasoning.

Water fun is ​

Placeholder

because they charge a ​

Placeholder

rate.

Super Ski is ​

Placeholder

because they charge a ​

Placeholder

rate.

Drag these tiles and drop them in the correct blank above

proportional

constant

non-proportional

non constant

variable

linear

origin

Hotspot

Place an X under yes or no to indicate if each situation represents a proportional relationship.

Dropdown

The table shows the weight of an object on several planets, when the weight of that same object on Earth is 110 pounds. Use proportional reasoning to find each related weight. Round to the nearest tenth.

Earth: 85 pounds; Mercury: ​ ​

Select answer

pounds

Neptune: 120 pounds; Earth: ​

Select answer

pounds

Jupiter: 320 pounds; Earth: ​

Select answer

pounds

Dropdown

Sophia bought 9 red peppers for $5.40. Find the unit rate. Then use the unit rate to write an equation relating the cost in dollars c to the number of red peppers p.

Unit Rate = ​

Select answer

Equation: ​

Select answer

Multiple Select

A salad dressing recipe uses 12 parts oil, 3 parts vinegar, and 2 parts honey. Which of the following sets of ingredients are in a proportional relationship with the recipe? Select all that apply.

• A. 9 Tbsp oil, 2 Tbsp vinegar, 1.5 Tbsp honey

• B. 6 Tbsp oil, 1.5 Tbsp vinegar, 1 Tbsp honey

• C. 15 Tbsp oil, 4 Tbsp vinegar, 3 Tbsp honey

• D. 18 Tbsp oil, 4.5 Tbsp vinegar, 3 Tbsp honey

• E. 24 Tbsp oil, 6 Tbsp vinegar, 4 Tbsp honey

Math Response

The table shows how fast some of the world's fastest animals could travel in different portions of an hour at their top speed. What is the top speed of the Blue Wildebeest in miles per hour?

Type answer here

Correct Answer: 50

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Math Response

The table shows how fast some of the world's fastest animals could travel in different portions of an hour at their top speed. What is the top speed of the Brown Hare in miles per hour?

Type answer here

Correct Answer: 48

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Math Response

The table shows how fast some of the world's fastest animals could travel in different portions of an hour at their top speed. What is the top speed of the Cheetah in miles per hour?

Type answer here

Correct Answer: 70

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Math Response

Given a square with side length of 4.5 inches, what is the area in square centimeters, rounded to the nearest tenth? Use 1 inch = 2.54 centimeters.

Type answer here

Correct Answer: 130.6

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Labelling

Marcus and his family are planning a vacation that involves horseback riding. Horseshoe Ranch charges a $12.95 ranch entrance fee plus $14.95 per hour to rent horses.

Part a: Complete the table to determine the total cost for 1, 2, 3, and 4 hours.

Part B: Is the total price proportional or nonproportional to the number of hours spent horseback riding?

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$57.7

$72.75

$57.80

$42.9

$72.8

$27.8

$27.90

$42.85

Drag and Drop

Marcus and his family are planning a vacation that involves horseback riding. Horseshoe Ranch charges a $12.95 ranch entrance fee plus $14.95 per hour to rent horses. The table shows the cost to rent the hours for a given number of hours.

The total price ​

Placeholder

to the number of hours spent horseback riding.

Drag these tiles and drop them in the correct blank above

nonproportional

proportional

Math Response

Sean needs to buy 150 pounds of dog food for the local dog shelter. The graph shows the relationship between the number of bags of dog food and the total weight of the dog food at Pets Galore. Another store, Healthy Pets, sells dog food in 50-pound bags for $88.45 per bag. If one bag of food from Pets Galore costs $46.04, how much would Sean save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets?

Type answer here

Correct Answer: 35.15

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Multiple Choice

The graph shows the average speed of two cars. Answer true or false. The speed of car A has a constant of proportionality of 60.

• True

• False

Multiple Choice

The graph shows the average speed of two cars. Answer true or false. Car B is traveling faster than car A.

• True

• False

Explanation Slide...

Car A is traveling 60 mph (120mi/2hr). Car B is traveling 45 mph (90mi/2hr).

Multiple Choice

The graph shows the average speed of two cars. Place an X in the appropriate column to indicate whether each statement is true or false. Car B takes longer to travel the same distance as car A.

• True

• False

Multiple Choice

The graph shows the average speed of two cars. Answer true or false. The speed of car B has a constant of proportionality of 67.5.

• True

• False

Labelling

Kendall went on a trip with her family and made a chart of how far they had traveled after each hour.  Kendall forgot to write down two of the pairs of values but knows that they traveled at the same rate of speed the entire trip.  Help Kendall complete the table by selecting the two missing pairs of values.

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(65, 1)

(325, 5)

(5, 300)

(1, 65)

(5, 325)

(1, 60)

Drag and Drop

Sam recorded the height of her skateboard ramp and the distance of her jumps in the graph. She raises her ramp to 2.5 feet, and the rate of change stays the same. How far is Sam able to jump?

​

Placeholder

Drag these tiles and drop them in the correct blank above

5 feet

1.5 feet

2 feet

4.5 feet

Math Response

This table shows gallons of water poured in a tank at different time intervals after an inlet pipe is turned on. What number should replace the question mark?

Type answer here

Correct Answer: 30

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Drag and Drop

The table represents a ​

Placeholder

relationship because it does not have a ​

Placeholder

Drag these tiles and drop them in the correct blank above

non proportional

constant of proportionality

proportional

negative number

matching values

negative

positive

slope

Labelling

Lucy spends $1.75 on a cup of coffee each day. Fill in the following table to represent a proportional relationship.

Drag labels to their correct position on the image

$5.25

$12.25

$3.00

$10.50

$8.75

$1.75

$7.00

$3.50

Math Response

Type answer here

Correct Answer: 60

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Drag and Drop

The equation for a proportional relationship is...

​

Placeholder

=​

Placeholder

​

Placeholder

Drag these tiles and drop them in the correct blank above

y

k

x

8

b

m

+

Math Response

Type answer here

Correct Answer: 35

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Dropdown

What is the constant of proportionality (k) of this table?

​

Select answer

Math Response

What is the constant of proportionality in the graph?

Type answer here

Correct Answer: 10

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Multiple Choice

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

• unit rate
• ratio rate
• proportion answer
• rational number

Drag and Drop

In order to find the constant of proportionality (k) you divide ​

Placeholder

by ​

Placeholder

Drag these tiles and drop them in the correct blank above

y

x

m

a

b

+

Dropdown

What is the constant of proportionality of the table? ​

Select answer

Multiple Choice

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $100 is earned for every 2 hours worked

• $500 is earned for every 8 hours worked

• $200 is earned for every 3 hours worked