Proportional vs Nonproportional Relationships Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is one where the ratio between two quantities is not constant, meaning the relationship does not maintain a consistent rate of change.

Front

How can you identify a proportional relationship from a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

How can you identify a nonproportional relationship from a graph?

Back

A graph represents a nonproportional relationship if it is a straight line that does not pass through the origin or if it is not a straight line.

Front

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

Back

If a table shows a proportional relationship, the ratios of the values in the table are constant.

Front

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

Back

If a table shows a nonproportional relationship, the ratios of the values in the table are not constant.

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

Front

Example of a nonproportional relationship: If a car travels 60 miles in 1 hour and 120 miles in 2 hours, is this proportional?

Back

No, because the relationship is not constant; the speed may change.

Front

What is the formula for finding a proportional relationship?

Back

The formula is y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.