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 is the constant of proportionality?

Back

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

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are equal.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If the constant of proportionality is 3, what is the relationship between x and y?

Back

If k = 3, then y = 3x.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio.

Front

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

Back

Check if the ratios of y to x are the same for all pairs of values.

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

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero in a proportional relationship.