Proportional and Non-Proportional Relationships

Proportional and Non-Proportional Relationships

Multiple Choice

Which graph shows a direct variation?

Examples of Proportional Equations

•  $y=\frac{1}{3\ }x$   
  

•  $y=-x$  

•  $y=\ \frac{x}{2}$  

•  $y=4x$  

Multiple Select

Choose the linear functions that are proportional.

Examples of Proportional Equations

•  $y=\frac{1}{3\ }x+1$   
  

•  $y=-x-5$  

•  $y=\ \frac{x}{2}+5$  

•  $y=4x-6$  

Proportional Relationships from Tables

To determine if a data table has a proportional relationship, the constant of proportionality must be the same for each ordered pair. (k = y/x)

Fill in the Blanks

Fill in the blank (where the ? is). Click on the table to make it bigger.

Fill in the Blanks

What is the constant of proportionality?

TABLES. Proportional or Not?

Determine the constant of proportionality.

Then state if the data table has a proportional relationship. 

TABLES. Proportional or Not?

Determine the constant of proportionality.

k=12 for each x and y.

Then state if the data table has a proportional relationship. Yes, y/x stays the same.

Fill in the Blanks

What is the constant of proportionality?

TABLES. Proportional or Not?

Determine the constant of proportionality.

Then state if the data table has a proportional relationship. 

TABLES. Proportional or Not?

Determine the constant of proportionality.

k= 0.50 for each x and y.

Then state if the data table has a proportional relationship. Yes, y/x stays the same

Multiple Choice

Does the following table show a proportional relationship?

• Yes

• No

TABLES. Proportional or Not?

Determine the constant of proportionality.

Then state if the data table has a proportional relationship. 

TABLES. Proportional or Not?

Determine the constant of proportionality.

k=7.33, 4, 2.77, 2.25

Then state if the data table has a proportional relationship.  No, y/x does not remain the same

Proportional vs. Non-Proportional from a Graph

Multiple Select

Choose the graph(s) that DO NOT represent proportional relationships.