Proportion vs Non-Proportion

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or relationship to each other.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant.

Front

What does it mean for a graph to be proportional?

Back

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

Front

What does it mean for a graph to be non-proportional?

Back

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

Front

Identify a characteristic of proportional graphs.

Back

Proportional graphs have a constant slope.

Front

Identify a characteristic of non-proportional graphs.

Back

Non-proportional graphs may have varying slopes.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is a constant.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship may include a constant term, such as y = mx + b, where b ≠ 0.

Front

How can you tell if a table of values represents a proportional relationship?

Back

If the ratio of y to x is constant for all pairs of values, it represents a proportional relationship.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero in a proportional relationship.