Flashcard 1.4 Proportional Relationships w/Tables & 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 quantity is constant.

Front

How can you tell if a table shows a proportional relationship?

Back

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

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values are not equal.

Front

What is the significance of the origin in a graph?

Back

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

Front

What does a straight line indicate in a graph?

Back

A straight line indicates a constant rate of change, which is characteristic of proportional relationships.

Front

What is the missing value in the table if x=7 and y=14?

Back

The missing value is 14, indicating a proportional relationship.

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

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

Back

If a graph does not pass through the origin, it indicates that the relationship is not 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 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.