Proportional vs NonProportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional 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 in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

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

Back

A table represents a non-proportional relationship if the ratios of corresponding values are not equal.

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where k is the constant of proportionality.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear relationship, where if b is not zero, it is non-proportional.

Front

What is the constant of proportionality?

Back

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

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

How can you tell if a graph represents a non-proportional relationship?

Back

A graph represents a non-proportional relationship if it is a straight line that does not pass through the origin.

Front

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

Back

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