Identifying Proportional Relationships (tables)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

Does the table show a proportional relationship?

Back

A proportional relationship exists when two quantities maintain a constant ratio.

Front

Is the given table a proportional relationship? If so, what is the constant of proportionality?

Back

Yes; the constant of proportionality is the value that relates the two quantities in a proportional relationship.

Front

Which statement best describes the relationship of x and y in the table?

Back

Proportional means that the ratio of x to y is constant.

Front

What is a Ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you determine if a relationship is proportional using a table?

Back

To determine if a relationship is proportional, check if the ratios of corresponding values are equal.

Front

What does it mean if a table does not show a proportional relationship?

Back

If a table does not show a proportional relationship, the ratios of the quantities are not constant.

Front

What is an example of a proportional relationship?

Back

An example is the relationship between distance and time at a constant speed, such as 60 miles per hour.

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 is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities changes.