Proportional vs. Non-Proportional

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 quantity 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 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 zero.

Front

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

Back

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

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is an example of a non-proportional relationship in real life?

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and the total pay if there is a fixed salary plus overtime.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a relationship that can be described by a straight line. It can be either proportional or non-proportional.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

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.