Proportional vs Nonproportional Tables

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. If one quantity doubles, the other also doubles.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is one where the ratio between two quantities is not constant. Changes in one quantity do not result in consistent changes in the other.

Front

How can you identify a proportional table?

Back

A table is proportional if the ratio of the values in one column to the values in another column is constant.

Front

What does it mean if a table is nonproportional?

Back

If a table is nonproportional, it means that the ratios of the values do not remain the same as the values change.

Front

Example of a proportional relationship: If 2 dogs have 8 paws, how many paws do 5 dogs have?

Back

5 dogs have 20 paws (2 dogs: 8 paws, 5 dogs: 5/2 * 8 = 20 paws).

Front

Example of a nonproportional relationship: If a train travels 30 miles in 1 hour and 45 miles in 2 hours, is it proportional?

Back

No, it is nonproportional because the ratio of distance to time is not constant.

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 table shows the relationship between hours worked and money earned, how can you tell if it's proportional?

Back

If for every hour worked, the money earned is a constant amount, then it is proportional.

Front

What is an example of a nonproportional table?

Back

A table showing the number of items sold and total sales where the price per item changes.

Front

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

Back

A proportional relationship will graph as a straight line that passes through the origin (0,0).