Proportional and Nonproportional 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 a non-proportional relationship?

Back

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

Front

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

Back

A table represents a proportional relationship if the ratios of the values in the table are equivalent.

Front

What does a proportional graph look like?

Back

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

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and may be curved or not a straight line.

Front

If a table has the values (2, 4), (3, 6), and (4, 8), is it proportional?

Back

Yes, because the ratios (y/x) are all equal (2).

Front

If a table has the values (1, 2), (2, 5), and (3, 7), is it proportional?

Back

No, because the ratios (y/x) are not equal.

Front

What is the constant of proportionality?

Back

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

Front

How do you find the constant of proportionality from a graph?

Back

You find the constant of proportionality by determining the slope of the line, which is the change in y divided by the change in x.

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.