Identifying Proportional Relationships (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 determine if a table shows a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two quantities in a proportional relationship.

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 constant.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, often expressed as a fraction.

Front

How do you find the unit rate from a table?

Back

To find the unit rate, divide the value of one quantity by the value of the other quantity when the second quantity is equal to one.

Front

What is an example of a proportional relationship in real life?

Back

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

Front

What is the significance of the unit rate in a proportional relationship?

Back

The unit rate represents the constant of proportionality and helps to understand the relationship between the two quantities.

Front

How can you identify a non-proportional relationship from a table?

Back

A non-proportional relationship can be identified if the ratios of the values change as you move through the table.

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.