Identifying Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are constant and the relationship passes through the origin.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant ratio that describes how one quantity changes in relation to another.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not have a constant ratio and does not pass through the origin.

Front

What is an example of a proportional relationship?

Back

An example is the relationship between distance and time at a constant speed, such as traveling 60 miles in 1 hour.

Front

What is an example of a non-proportional relationship?

Back

An example is the relationship between the number of items purchased and the total cost when there is a fixed fee added.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio that remains constant in a proportional relationship, often represented as k.

Front

How do you identify a proportional relationship from a table?

Back

To identify a proportional relationship from a table, check if the ratios of y to x are the same for all pairs.