Proportional vs Non-Proportional

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 is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

Which equation represents a proportional relationship? y = 3x or y = x + 4?

Back

y = 3x represents a proportional relationship.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship.

Front

Identify a characteristic of proportional relationships in tables.

Back

In a table representing a proportional relationship, the ratios of corresponding values are constant.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is the constant ratio between the two quantities.

Front

How can you tell if a relationship is non-proportional from a graph?

Back

A non-proportional relationship can be identified if the graph is not a straight line or does not pass through the origin.

Front

What is an example of a non-proportional relationship in real life?

Back

An example is a taxi fare that has a base fee plus a charge per mile.

Front

What does the term 'constant of proportionality' refer to?

Back

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

Front

If y = 2x + 5, is this relationship proportional or non-proportional?

Back

This relationship is non-proportional because it includes a constant (5) added to 2x.