Linear Relationships

7.11A

By Sade Chambers

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​Number your paper from 1-4. Write each equation, and IDENTIFY the slope (m) and the y-intercept (b).

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​6 TYPES OF REPRESENTATIONS

• PICTURES

• TABLES​

• GRAPHS

• EQUATIONS

• VERBAL/ STORY PROBLEMS

• NUMBERIC ​

Multiple Choice

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours. What is the constant of proportionality?

• $37

• $64.75

• $9.25

• $18.50

Multiple Choice

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

• y

• x

• 14

• 1/14

Multiple Choice

Identify the Slope from the given equation.

y = 5x - 2

• 2

• -2

• 5

• -5

Multiple Choice

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Multiple Choice

Identify the Y- intercept from the given equation.

y = -2x - 6

• -2

• -6

• 2

• 6

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​ANSWER THE QUESTION IN YOUR JOURNAL. ALL 4 ANSWERS ARE ON THIS SLIDE AND THE NEXT.

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​ANSWER THE QUESTION IN YOUR JOURNAL. ALL 4 ANSWERS ARE ON THIS SLIDE AND THE NEXT.

Multiple Choice

Frank and his family drove 6 hours every day during a road trip. Which graph best represents y, the total number of hours driver in x days?

Multiple Choice

A scooter can travel 100 miles in 4 hours. Which graph best represents y, the number of miles the scooter can travel in x hours at this rate?

8​

9​

10​

11​

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Multiple Choice

What is the constant of proportionality?

• 8

• 16

• 24

• 2

Multiple Choice

• F

• G

• H

• J

Multiple Choice

A dolphin travels through the water of a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate? (7.4A)

Multiple Choice

A blue wildebeest travels at a speed of 42 kilometers per hour. Which representation shows the distance a wildebeest can travel at this rate?

Multiple Choice

The graph represents the linear relationship between the number of books Layla has read and the number of months she has been a member of a book club. (7.4A)

• Layla has read 2 books in the first 3 months she was a member of the book club.

• Layla has read 3 books in the first 2 months she was a member of the book club.

• Layla has read 3 books in the first 4 months she was a member of the book club.

• Layla has read 4 books in the first 3 months she was a member of the book club.

Multiple Choice

Which equation best represents the relationship between x and y in the graph? (7.7A)

• y = 2x + 4

• y = 2x - 2

• y = 1/2x + 4

• y = 1/2x - 4

Multiple Choice

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

Multiple Choice

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x -3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of this fish, given this equation? (7.7A)

• From a starting position of 7 meters below sea level, the fish is descending 3 meters per second

• From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second

• From a starting position of 3 meters below sea level, the fish is descending 7 meters per second

• From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second

Multiple Choice

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

• x = 4.25 + y

• x = 4.25y

• y = 4.25 + x

• y = 4.25x

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• F

• G

• H

• J

Multiple Choice

Which table contains only values that satisfy the equation

y = 0.5x + 14?