Proportional VS. 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 it mean if a graph goes through the origin?

Back

If a graph goes through the origin (0,0), it indicates a proportional relationship, as both quantities are zero at that point.

Front

What is a constant ratio?

Back

A constant ratio is the fixed relationship between two quantities in a proportional relationship, calculated by dividing one quantity by the other.

Front

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

Back

To determine if a relationship is proportional from a table, check if the ratios of corresponding values are constant.

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 is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) in the equation of a proportional relationship, representing the ratio of y to x.

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified from a graph if it does not pass through the origin or if it is not a straight line.

Front

What does the slope of a line represent in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.

Front

Is the equation y = 3x proportional?

Back

Yes, the equation y = 3x is proportional because it can be expressed in the form y = kx, where k = 3.