Proportional Relationships in Tables and Graphs

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

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 is a non-proportional relationship?

Back

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

Front

How can you identify a proportional relationship in a table?

Back

A table shows a proportional relationship if the ratios of corresponding values are equal.

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant because a proportional graph must pass through it.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship.

Front

How can you determine if a graph is proportional by looking at its slope?

Back

If the slope is constant and the graph passes through the origin, it is proportional.

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 are the characteristics of a proportional table?

Back

A proportional table has values that maintain a constant ratio, such as (2,4), (3,6), (4,8).

Front

What is the formula for finding a constant of proportionality?

Back

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