Proportional & Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is when two quantities increase or decrease at the same rate, and the graph of these quantities is a straight line that passes through the origin.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when two quantities do not increase or decrease at the same rate, and the graph does not pass through the origin.

Front

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

Back

It means that when the value of one variable is zero, the value of the other variable is also zero, indicating a proportional relationship.

Front

Which type of graph represents a proportional relationship?

Back

A straight line that passes through the origin.

Front

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

Back

If you buy 2 apples for $2, then 4 apples will cost $4, showing a constant rate.

Front

What is an example of a non-proportional relationship?

Back

If you pay a flat fee of $5 plus $2 for each item, the total cost does not increase at a constant rate.

Front

How can you tell if a table of values is proportional?

Back

If the ratio of the values in the table is constant, then the relationship is proportional.

Front

What is the equation of a proportional relationship?

Back

The equation is usually in the form y = kx, where k is a constant.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the constant rate of change between the two variables.

Front

If a graph is curved, is it proportional or non-proportional?

Back

It is non-proportional.