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

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

Back

A table represents a proportional relationship if the unit rate (the ratio of the change in y to the change in x) is constant.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates that there is a proportional relationship between the variables.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.

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 does a straight line on a graph indicate?

Back

A straight line on a graph indicates a constant rate of change, which is characteristic of proportional relationships.

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

If 3 liters of soda are needed for every 12 guests, how many liters are needed for 48 guests?

Back

12 liters.

Front

What is the significance of the point (0,0) in a proportional graph?

Back

The point (0,0) signifies that when there is no input (x=0), the output (y) is also zero, which is a key characteristic of proportional relationships.

Front

What does it mean if the unit rate is not constant?

Back

If the unit rate is not constant, it indicates that the relationship between the two quantities is not proportional.