Proportional/Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship where two quantities maintain a constant ratio or rate.

Front

What is the constant of proportionality?

Back

The constant ratio in a proportional relationship, often represented by 'k'.

Front

How do you find the constant of proportionality from a table of values?

Back

Divide the value of one quantity by the corresponding value of the other quantity.

Front

What is a unit rate?

Back

A comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

What does it mean if an equation shows a proportional relationship?

Back

It means that the equation can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What is the significance of the origin in a graph of a proportional relationship?

Back

A proportional relationship graph must pass through the origin (0,0).

Front

What is a non-proportional relationship?

Back

A relationship where the ratio between two quantities is not constant.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph does not pass through the origin.

Front

What does it mean if a graph intersects the y-axis?

Back

It indicates that the relationship is not proportional, as it does not start from the origin.

Front

What is an example of a proportional relationship?

Back

If 2 hours of work earns $20, then 4 hours earns $40, maintaining a constant ratio.