Proportional VS Non-Proportional (Equations)

Front

What is a Proportional Relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. For example, if y is proportional to x, then y = kx, where k is a constant.

Front

What is a Non-Proportional Relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant. For example, y = mx + b (where b ≠ 0) represents a non-proportional relationship.

Front

Identify if the following equation is Proportional or Non-Proportional: y = 3x.

Back

Proportional. The equation represents a constant ratio of y to x.

Front

Identify if the following equation is Proportional or Non-Proportional: y = 2x + 5.

Back

Non-Proportional. The presence of the constant 5 means the ratio of y to x is not constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx that relates two proportional quantities.

Front

How can you determine if a set of data is proportional?

Back

A set of data is proportional if the ratio of the y-values to the x-values is constant for all pairs of values.

Front

Give an example of a proportional relationship in real life.

Back

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

Front

Give an example of a non-proportional relationship in real life.

Back

An example of a non-proportional relationship is the cost of a taxi ride, which includes a base fare plus a charge per mile.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

What does a graph of a non-proportional relationship look like?

Back

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