Proportional and Nonproportional Relationships in Tables

What is the constant ratio or constant of proportionality (in miles per hour) based on the table?

• 45

• 90

• 135

• 2

Write an equation for this relationship.

• y = 18x

• y = 18.50x

• y = 22.50x

• y = 22x

The constant of proportionality can be found by finding the __________  _____________.

• unit rate

• ratio rate

• proportion answer

• rational number

How do you feel about proportional and nonproportional tables?

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• 
• 

Find the constant of proportionality (k value).

• 26

• 13

• 39

Write an equation for the table.

• y = 26x

• y = 13x

• x = 26k

• y = 39k

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

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• 
• 
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Answer explanation

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 $\frac{y}{x}$ to see if there is an consistent constant that takes each x to each y in the ratio table.

 Is this table proportional or non-proportional?

• Proportional

• Non-Proportional

Is this table proportional?

• Yes

• No

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

• Proportional

• Not Proportional