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 equation of a proportional relationship?

Back

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

Front

What does it mean if a graph is linear?

Back

A linear graph is a straight line that represents a constant rate of change between two variables.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

How can you identify a proportional graph?

Back

A proportional graph is linear and passes through the origin (0,0).

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

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are constant.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a graph that does not pass through the origin or has a curved line.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must start from this point.

Front

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

Back

To find the constant of proportionality, divide the y-value by the corresponding x-value for any pair of values.