Proportional/Not Proportional Graphs and Tables

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 identify a proportional relationship in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are the same.

Front

What does it mean if a graph is linear but not proportional?

Back

A linear graph that is not proportional does not pass through the origin, indicating that the relationship is not constant.

Front

What is the definition of a non-proportional relationship?

Back

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

Front

How can you tell if a table is not proportional?

Back

A table is not proportional if at least one pair of corresponding values does not have the same ratio.

Front

What is the significance of the origin in proportional graphs?

Back

In proportional graphs, the line passes through the origin (0,0), indicating that when one quantity is zero, the other is also zero.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee.

Front

What does a slope of zero indicate in a graph?

Back

A slope of zero indicates a horizontal line, which represents a constant value that does not change.

Front

What does a positive slope indicate in a graph?

Back

A positive slope indicates that as one quantity increases, the other quantity also increases.