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 Blanks

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

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.