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 if a relationship is non-proportional?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant.

Front

Identify the equation that represents a proportional relationship: y = 3x, y = 5x - 2.

Back

y = 3x represents a proportional relationship.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the ratio of two quantities when one of the quantities is 1.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

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

Back

In a proportional relationship, the graph passes through the origin (0,0).

Front

If y = kx, what does k represent?

Back

k represents the constant of proportionality, or the unit rate.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

Determine if the following set of values is proportional: (2, 4), (3, 6), (4, 8).

Back

Yes, the set of values is proportional because the ratio is constant (1:2).

Front

What happens to the graph of a proportional relationship if the constant of proportionality is negative?

Back

The graph will slope downwards, indicating an inverse relationship.