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 quantity is constant.

Front

How can you determine if two quantities are proportional using a table?

Back

To determine if two quantities are proportional using a table, check if the ratios of corresponding values are equal.

Front

What does it mean if a table shows a proportional relationship?

Back

It means that as one quantity increases or decreases, the other quantity does so at a constant rate.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented as 'k'.

Front

If a 20 pound bag of dog food costs $47.60, what is the cost per pound?

Back

Front

If a 36 pound bag of dog food costs $85.68, what is the cost per pound?

Back

Front

Are the prices of the dog food bags proportional?

Back

Yes, both bags have the same cost per pound, which indicates a proportional relationship.

Front

What is the rate of change in a proportional relationship?

Back

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

Front

How do you find the rate of change from a table?

Back

To find the rate of change from a table, divide the change in the dependent variable by the change in the independent variable.

Front

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

Back

It means that the ratios of corresponding values are not constant, indicating that the relationship is not proportional.