Proportional vs. Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate, meaning that 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 that the relationship does not maintain a consistent rate.

Front

What does C.O.P. stand for in the context of proportional relationships?

Back

C.O.P. stands for Constant of Proportionality, which is the constant ratio between two proportional quantities.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the Constant of Proportionality (C.O.P.) is the same for each pair of values.

Front

What is the Constant of Proportionality in the equation y = ½x?

Back

The Constant of Proportionality in the equation y = ½x is 1/2.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin (0,0), it indicates a proportional relationship between the variables.

Front

What is the significance of a straight line in a graph?

Back

A straight line in a graph indicates a linear relationship, but it must also pass through the origin to be considered proportional.

Front

Which of the following equations represents a proportional relationship: y = 5x or y = x + 3?

Back

y = 5x represents a proportional relationship, while y = x + 3 is non-proportional.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = x + 3, where the ratio between x and y changes.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph can be identified if it is a straight line that does not pass through the origin.