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 where the ratio of one quantity to another is not constant.

Front

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

Back

A table represents a proportional relationship if the ratios (y/x) for all pairs of values are equal.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line is constant and equal to the ratio of y to x.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph may have a slope that changes or does not pass through the origin.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates y and x in a proportional relationship.

Front

Can a linear equation represent a non-proportional relationship?

Back

Yes, a linear equation can represent a non-proportional relationship if it does not pass through the origin.