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 graph of a proportional relationship look like?

Back

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

Front

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

Back

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

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 a constant.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can be expressed in the form y = mx + b, where b is not equal to 0.

Front

If y = 3.75x + 2, is this relationship proportional or non-proportional?

Back

Non-proportional, because it has a y-intercept of 2.

Front

If y = 5x, is this relationship proportional or non-proportional?

Back

Proportional, because it passes through the origin.