Proportional vs Linear 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 quantity is constant.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, where the change in one variable is constant with respect to the change in the other.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified 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 as 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) that relates two proportional quantities.

Front

How do you determine if a graph represents a proportional relationship?

Back

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

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of items that are sold at a constant price per unit, such as $2.50 per bag of popcorn.

Front

What is a non-proportional relationship?

Back

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

Front

How can you tell if a relationship is linear but not proportional?

Back

A linear relationship is not proportional if it does not pass through the origin, meaning the y-intercept is not zero.

Front

What does it mean if a table does not represent a proportional relationship?

Back

If a table does not represent a proportional relationship, it means that the ratios of the values do not remain constant.