Proportional vs. Non-Proportional (Easier) - Math BE

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio. If one quantity doubles, the other also doubles.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one in which the ratio between two quantities is not constant. Changes in one quantity do not result in consistent changes in the other.

Front

How can you identify a proportional graph?

Back

A graph is proportional if it passes through the origin (0,0) and forms a straight line.

Front

How can you identify a non-proportional graph?

Back

A graph is non-proportional if it does not pass through the origin or if it forms a curve or a line that does not start at (0,0).

Front

What does a proportional table look like?

Back

A proportional table shows pairs of numbers where the ratio between the numbers is constant.

Front

What does a non-proportional table look like?

Back

A non-proportional table shows pairs of numbers where the ratio between the numbers changes.

Front

Example of a proportional relationship: If x = 2, y = 4, what is the ratio?

Back

The ratio is 1:2, which is constant for all pairs (e.g., x = 4, y = 8).

Front

Example of a non-proportional relationship: If x = 1, y = 2; if x = 2, y = 5, is this proportional?

Back

No, the ratios (1:2 and 2:5) are not constant.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is constant and equal to the ratio of y to x.

Front

What is the slope of a non-proportional graph?

Back

The slope of a non-proportional graph can change, indicating that the relationship is not constant.