Proportional Relationships, Tables and Graphs

Proportional Relationship: Tables and Graphs

Proportional Relationship: Graphs

• Has to be a straight line

• MUST go through the point (0,0) on a graph

• Will have a constant of proportionality (k)

Proportional Relationship

Straight line

Goes through (0,0)

Not Proportional

This has a straight line but it does NOT go through the point (0,0)

Multiple Choice

Does this graph represent a proportional relationship?

• Yes
• No

Multiple Choice

Which graph shows a proportional relationship between x and y?

• F
• G
• H
• J

Multiple Choice

The graph above shows the price of games in dollars.  Is the graph proportional and how do you know?

• The graph is proportional  because it is linear.
• The graph is proportional because it is linear and passes through the origin.
• The graph is not proportional because it does not pass through the origin.
• The graph is not proportional because it is not linear and it does not pass through the origin.

Multiple Choice

Is the graph proportional or non proportional?

• proportional

• non proportional

Multiple Choice

Is the graph proportional or non proportional?

• proportional
• non proportional

Multiple Choice

Is the graph proportional or non proportional?

• proportional
• non proportional

Proportional Relationships

Tables

Proportional

1) The same number multiplied by every x will give you the y value

2) The change of y over the change of x will be the same throughout the table

Not Proportional

1) Your coordinate pair will be (0,y) where y does NOT equal 0.

Multiple Choice

Does the table represent a proportional relationship?

• Yes.
• No.

Multiple Choice

Does the table represent a proportional relationship?

• Yes.
• No.

Multiple Choice

Is this table proportional?

• Yes
• No

Multiple Choice

Which statement best describes the relationship of x and y in the table?

• Proportional
• Not Proportional

Multiple Choice

Does the table show a proportional relationship?

• Yes

• No