Proportional and Nonproportional Relationships

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

What is a nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in a graph?

Back

In a graph, a proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a nonproportional relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

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 an example of a nonproportional relationship in real life?

Back

An example of a nonproportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), does it show a proportional relationship?

Back

Yes, it shows a proportional relationship because the ratio of y to x is constant (2:1).

Front

If a table shows the values (1, 2), (2, 5), (3, 7), does it show a proportional relationship?

Back

No, it does not show a proportional relationship because the ratio of y to x is not constant.