Proportional Relationships with 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 do you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are the same.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.

Front

If a table shows values of A and B, and the ratio of A to B is constant, what can we say about A and B?

Back

A and B are in a proportional relationship.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities.

Front

How can you find the missing value in a proportional table?

Back

You can find the missing value by using the constant of proportionality to set up a proportion.

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

If the constant of proportionality is 3, what does this mean?

Back

It means that for every unit increase in one quantity, the other quantity increases by 3 units.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

How do you determine if a table does not represent a proportional relationship?

Back

A table does not represent a proportional relationship if the ratios of corresponding values are not constant.