Proportional and Non-proportional Relationships Review

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 from a table of values?

Back

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

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

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 a constant.

Front

What is the significance of the constant 'k' in the equation y = kx?

Back

The constant 'k' represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

How can you determine if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be rewritten in the form y = kx, where k is a non-zero constant.

Front

What does a straight line through the origin indicate on a graph?

Back

A straight line through the origin indicates a proportional relationship between the two variables.

Front

What is the graphical representation of a non-proportional relationship?

Back

The graphical representation of a non-proportional relationship may be a straight line that does not pass through the origin or a curve.

Front

How do you write an equation for a proportional relationship?

Back

To write an equation for a proportional relationship, identify the constant of proportionality and use the form y = kx.