Exploring Proportional Relationship Tables

The video tutorial explains how to determine if a table represents a proportional relationship between x and y. It outlines two steps: finding the unit rate for all table entries except where x and y are zero, and checking if all unit rates are the same. Two examples are provided: one where the table is proportional and another where it is not.

What is the main goal of this video?

• To find the slope of a line

• To determine if a table represents a proportional relationship between x and y

• To learn how to solve quadratic equations

• To understand the concept of linear equations

What is the first step in determining if a table represents a proportional relationship?

• Find the slope of the line

• Find the unit rate or constant of proportionality for all table entries except where x is zero and y is zero

• Check if all x values are the same

• Check if all y values are the same

What should you do if all the unit rates in the table are the same?

• Conclude that the table does not represent a proportional relationship

• Conclude that the table represents a proportional relationship

• Ignore the table

• Recalculate the unit rates

In Example 1, what is the unit rate for the table entry where x is 1 and y is 3?

• 1

• 2

• 3

• 4

In Example 1, what is the unit rate for the table entry where x is 2 and y is 6?

• 2

• 5

• 3

• 4

In Example 1, what is the unit rate for the table entry where x is 3 and y is 9?

• 2

• 5

• 4

• 3

In Example 1, does the table represent a proportional relationship?

• Maybe

• Not enough information

• No

• Yes

In Example 2, what is the unit rate for the table entry where x is 1 and y is 3?

• 4

• 3

• 2

• 1

In Example 2, what is the unit rate for the table entry where x is 2 and y is 9?

• 5

• 4.5

• 4

• 3

In Example 2, does the table represent a proportional relationship?

• Yes

• No

• Maybe

• Not enough information