Identify Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning that when one quantity changes, the other changes in a consistent way.

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What is a nonproportional relationship?

Back

A nonproportional relationship is one where the ratio between two quantities is not constant, meaning that changes in one quantity do not result in consistent changes in the other.

Front

How can you identify a proportional relationship?

Back

You can identify a proportional relationship by checking if dividing one quantity by the other always gives the same result.

Front

What does it mean if a relationship starts at zero?

Back

If a relationship starts at zero, it indicates that there is a proportional relationship, as both quantities are zero at the same time.

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What is an example of a proportional relationship?

Back

An example of a proportional relationship is if you earn $5 for every hour you work; the total pay is directly proportional to the number of hours worked.

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What is an example of a nonproportional relationship?

Back

An example of a nonproportional relationship is if you pay a flat fee of $10 plus $2 for each item; the total cost does not start at zero.

Front

What does 'constant rate' mean in a proportional relationship?

Back

'Constant rate' means that the change in one quantity is consistent with the change in another quantity, maintaining a fixed ratio.

Front

What is a zero pair in a proportional relationship?

Back

A zero pair refers to the point where both quantities are zero, indicating that the relationship is proportional.

Front

How does starting point affect proportionality?

Back

If a relationship starts at a point other than zero, it is typically nonproportional because the ratio does not remain constant.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it shows that both quantities are zero at the same time, confirming proportionality.