Unit 4 Review - Proportional vs. Non-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. 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 quantities do not change in a consistent manner.

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 two variables represented in the graph.

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 a constant.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis. In a proportional relationship, the y-intercept is always 0.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is direct variation?

Back

Direct variation is a specific type of proportional relationship where one variable is a constant multiple of another, typically expressed as y = kx.

Front

What is the ordered pair that a direct variation always goes through?

Back

A direct variation always goes through the ordered pair (0, 0).

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line is straight and passes through the origin.

Front

What does it mean if a graph does not represent a proportional relationship?

Back

If a graph does not represent a proportional relationship, it may not pass through the origin or may not have a constant ratio between the variables.