Proportional Relationships in Tables

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

How can you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are the same.

Front

What does it mean if a table does not represent a proportional relationship?

Back

If a table does not represent a proportional relationship, it means that the ratios of the values are not constant.

Front

What is the constant of proportionality?

Back

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

Front

If a table shows values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship because the ratio of y to x is constant (2:1).

Front

What is the graph of a proportional relationship like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a table showing values like (1, 2), (2, 4), (3, 7), where the ratios are not constant.

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates a proportional relationship, where the change in one quantity is consistent with the change in another.

Front

How do you determine if a graph is proportional?

Back

To determine if a graph is proportional, check if it is a straight line that goes through the origin.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.