Proportional/Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship where two quantities maintain a constant ratio and pass through the origin on a graph.

Front

What is a non-proportional relationship?

Back

A relationship where two quantities do not maintain a constant ratio and do not pass through the origin.

Front

How can you identify a proportional relationship on a graph?

Back

A proportional relationship can be identified if the graph is a straight line that passes through the origin.

Front

What does it mean if a graph intersects the y-axis?

Back

It indicates that the relationship has a starting value (y-intercept) when the other variable (x) is zero, suggesting it may be non-proportional.

Front

What is the constant of proportionality?

Back

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

Front

If a relationship has a starting fee plus a variable cost, is it proportional or non-proportional?

Back

It is non-proportional because it does not pass through the origin.

Front

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

Back

The relationship between distance and time when traveling at a constant speed.

Front

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

Back

The cost of a phone plan that has a fixed monthly fee plus additional charges for extra data.

Front

If a graph shows a straight line that does not pass through the origin, what type of relationship is it?

Back

It is a non-proportional relationship.

Front

What does it mean if the constant of proportionality is 60?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 60 units.