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

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What does it mean if a table is proportional?

Back

A table is proportional if the ratios of the corresponding values in the two columns are constant.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must start from this point.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is a non-proportional relationship?

Back

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

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph may be curved or a straight line that does not pass through the origin.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

What does a straight line through the origin indicate on a graph?

Back

A straight line through the origin indicates a proportional relationship between the two variables.

Front

Can a table have both proportional and non-proportional relationships?

Back

No, a table can only represent one type of relationship at a time: either proportional or non-proportional.