Proportional vs Non-proportional (Graphing)

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

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

Back

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

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning they do not increase or decrease at the same rate.

Front

How can you identify a proportional graph?

Back

A proportional graph is a straight line that passes through the origin.

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 is an example of a non-proportional relationship?

Back

An example is the relationship between the number of items purchased and the total cost when there is a fixed fee added.

Front

What does a linear graph represent?

Back

A linear graph represents a relationship where one variable changes at a constant rate with respect to another variable.

Front

What is the difference between linear and non-linear graphs?

Back

Linear graphs show a constant rate of change, while non-linear graphs show a variable rate of change.

Front

What does it mean if a graph is linear but non-proportional?

Back

It means the graph is a straight line but does not pass through the origin, indicating a fixed starting value.

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if the line is not straight.