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. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant. This means that the change in one quantity does not consistently correspond to a change in the other.

Front

What does the ordered pair (0, 0) signify in a relationship?

Back

The ordered pair (0, 0) signifies that when the independent variable is zero, the dependent variable is also zero, indicating a proportional relationship.

Front

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

Back

A table represents a proportional relationship if the ratios of the dependent variable to the independent variable are constant for all pairs of values.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit rate from a distance and time?

Back

To calculate the unit rate, divide the total distance traveled by the total time taken. For example, if you travel 11.2 miles in 1.4 hours, the unit rate is 11.2 miles / 1.4 hours = 8 miles per hour.

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 graph of a proportional relationship look like?

Back

A graph of a proportional relationship 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 straight but does not maintain a constant ratio.

Front

How can you identify a proportional relationship from a graph?

Back

You can identify a proportional relationship from a graph by checking if the line passes through the origin and if it is straight.