Proportional vs 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 between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in a table?

Back

If the ratios of the corresponding values are the same for all pairs, it is proportional.

Front

What does it mean if a graph passes through the origin (0,0)?

Back

It indicates a proportional relationship.

Front

What is the slope (m) in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0.

Front

If a graph is a straight line but does not pass through the origin, is it proportional?

Back

No, it is non-proportional.

Front

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

Back

Earning $10 for every hour worked is a proportional relationship.

Front

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

Back

A flat fee plus a variable charge, like a taxi fare, is a non-proportional relationship.

Front

How do you determine if a relationship is proportional using a graph?

Back

Check if the line is straight and passes through the origin.