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 changes, the other changes at a consistent rate.

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 as one quantity changes, the other does not change at a consistent rate.

Front

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

Back

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

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified in a table 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 = 2.5x?

Back

The constant of proportionality is 2.5.

Front

Which equation represents a proportional relationship?

Back

y = 5x represents a proportional relationship because it can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality in the equation y = 14x?

Back

The constant of proportionality is 14.

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

What does it mean if a graph is a straight line but does not go through the origin?

Back

If a graph is a straight line but does not go through the origin, it indicates a non-proportional relationship.

Front

What is an example of a non-proportional equation?

Back

An example of a non-proportional equation is y = x + 3.