Identifying 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 quantity is constant.

Front

How can you identify a proportional relationship in a graph?

Back

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

Front

What does it mean if a table shows a proportional relationship?

Back

If a table shows a proportional relationship, the ratios of the corresponding values of x and y are constant.

Front

What is the equation of a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates the two quantities in a proportional relationship.

Front

How do you determine if a set of points is proportional?

Back

To determine if a set of points is proportional, check if the ratios of y to x for each point are the same.

Front

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

Back

If a graph does not go through the origin, it indicates that the relationship is not proportional.

Front

Can a straight line that does not pass through the origin be proportional?

Back

No, a straight line that does not pass through the origin cannot be proportional.

Front

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

Back

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

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not have a constant ratio.