Proportional & 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.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in a graph?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a table represents a proportional relationship?

Back

If a table represents a proportional relationship, the ratios of the values in the table are constant.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line must pass through the origin, indicating that when one quantity is zero, the other is also zero.

Front

What is a constant rate of change?

Back

A constant rate of change means that for every unit increase in one quantity, there is a consistent increase in the other quantity.

Front

Can a proportional relationship be represented by a linear equation?

Back

Yes, a proportional relationship can be represented by a linear equation of the form y = kx, where k is a 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?

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and total pay when there is a base salary plus hourly wages.

Front

What does it mean if a graph is not linear?

Back

If a graph is not linear, it means that the relationship between the two quantities is changing and not constant.