Proportional VS. Nonproportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio between them is constant. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not constant. This means that the change in one quantity does not consistently affect the other.

Front

What does it mean for a graph to be linear?

Back

A linear graph is a straight line that represents a constant rate of change between two variables.

Front

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

Back

The point (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

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How can you identify a proportional relationship from a graph?

Back

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

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What is the constant of proportionality?

Back

The constant of proportionality is the ratio of the two quantities in a proportional relationship, often represented as 'k' in the equation y = kx.

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How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does it mean if a graph is nonlinear?

Back

A nonlinear graph does not form a straight line and indicates that the relationship between the variables is not 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 nonproportional relationship in real life?

Back

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