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 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 between the variables.

Front

How can you tell if a table of values represents a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

If a graph is a straight line but does not go through the origin, what type of relationship does it represent?

Back

It represents a non-proportional relationship.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What does it mean for a relationship to be non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph does not pass through the origin and may have a different slope.

Front

What is the slope of a proportional relationship graph?

Back

The slope of a proportional relationship graph is equal to the constant of proportionality.

Front

What is the difference between direct variation and proportional relationships?

Back

Direct variation is a specific type of proportional relationship where one variable is a constant multiple of another.