Proportional vs. Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate, meaning that as one quantity changes, the other changes at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one in which the ratio between two quantities is not constant, meaning that as one quantity changes, the other does not change at 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 represents a proportional relationship?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What is the equation of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = x + b, where b is a constant that shifts the line away from the origin.

Front

What are the characteristics of a graph that represents a proportional relationship?

Back

A graph that represents a proportional relationship must be a straight line that passes through the origin (0,0).

Front

What does it mean for a graph to go through the origin?

Back

For a graph to go through the origin means that the point (0,0) is included in the graph, indicating that when one quantity is zero, the other quantity is also zero.

Front

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

Back

A straight line in a graph indicates a constant rate of change between the two variables, which is a characteristic of proportional relationships.

Front

Can a proportional relationship have a negative constant of proportionality?

Back

Yes, a proportional relationship can have a negative constant of proportionality, indicating that as one quantity increases, the other decreases.