7.3.2 - Understanding Proportional Relationships

Multiple Choice

Is this table proportional?

• Yes
• No

Multiple Choice

What is the constant of proportionality?

• $3
• $4
• $2
• $9

Explanation Slide...

Proportional tables show a consistent constant that each x can be multiplied by to get the corresponding y in the ratio table.Divide each ratio yx\frac{y}{x}xy​ to see if there is an consistent constant that takes each x to each y in the ratio table.

Multiple Select

Select all the tables that show a proportional relationship between x and y in the ratio table. There are TWO ANSWERS!

Multiple Choice

What is the unit rate, or constant of proportionality?

• $3
• $4
• $2
• $9

Multiple Choice

What is the unit rate, or constant of proportionality?

• 3
• 5
• 10
• 12

Multiple Choice

What is the unit rate, or constant of proportionality?

• 45 
• 90 
• 135 
• 2 

Multiple Choice

What is the unit rate, or constant of proportionality?

• k = 10
• k = 8
• k = 6
• k = 4

Multiple Choice

What is the unit rate, or constant of proportionality?

• k = 3
• k = 6
• k = 9
• k = 12

Multiple Choice

There is a proportional relationship between the number of kids in a group, x, and the total number of caramel chews Paco gives to that group, y. What is the constant of proportionality?

• k = 4
• k = 2
• k = 5
• k = 1

Multiple Choice

Which equation would match this proportional relationship?

• y = 9x
• y = 2x
• y = 3x
• y = 5x

Multiple Choice

Which equation would match this proportional relationship?

• y = 3x
• y = 5x
• y = 10x
• y = 2x

Multiple Choice

Which equation would match this proportional relationship?

• y = 45x 
• y = 30x 
• y = 15x 
• y = -45x

Multiple Choice

What is the unit rate, or constant of proportionality?

• $3
• $4
• $2
• $9

Multiple Choice

What is the unit rate, or constant of proportionality?

• 3
• 5
• 10
• 12

Multiple Choice

What is the unit rate, or constant of proportionality?

• 45 
• 90 
• 135 
• 2 

Multiple Choice

If Megan drives for 7 hours, how many miles will she have driven?

• 315 miles
• 320 miles
• 280 miles
• 45 miles 

Multiple Choice

What is the unit rate, or constant of proportionality?

• 1/3
• 3
• 1/2
• 2

Multiple Choice

What is the unit rate, or constant of proportionality?

• k = 10
• k = 8
• k = 6
• k = 4

Multiple Choice

What is the unit rate, or constant of proportionality?

• k = 3
• k = 6
• k = 9
• k = 12

Multiple Choice

If I have one can of paint, how many bird houses can I paint? Hint: Find the unit rate!

• 3 Houses
• 10 Houses
• 20 Houses
• 15 Houses

Multiple Choice

What is the Constant of Proportionality? 

• k = 4
• k = 6
• k = 2
• k = 5

Multiple Choice

There is a proportional relationship between the number of kids in a group, x, and the total number of caramel chews Paco gives to that group, y. What is the constant of proportionality?

• k = 4
• k = 2
• k = 5
• k = 1

Multiple Choice

Which equation would match this proportional relationship?

• y = 9x
• y = 2x
• y = 3x
• y = 5x

Multiple Choice

Which equation would match this proportional relationship?

• y = 3x
• y = 5x
• y = 10x
• y = 2x

Multiple Choice

Which equation would match this proportional relationship?

• y = 45x 
• y = 30x 
• y = 15x 
• y = -45x

Multiple Choice

Which equation would match this proportional relationship?

• y = 3x
• y = -3x
• y = 15x
• y = -15x

Multiple Choice

What is the constant of proportionality in the equation?
y = -2x

• k = -2
• k = 2
• k = 1
• k = -1/2

Multiple Choice

What is the constant of proportionality in the equation?
y = 1/8x

• k = 1/8
• k = -1/8
• k = 1/4
• k = -1/2

Multiple Choice

What is the constant of proportionality in the equation?

y = x

• k = 1

• k = 2

• k = 0.5

• k = -1/2

Open Ended

In your own words, describe to me the method you use to find the constant of proportionality (Unit Rate) from a table.