Proportional vs. Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases 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 the relationship does not maintain a consistent rate of change.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratio of the values in the table remains constant for all pairs.

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 does the slope of a line represent in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant ratio (k) between the two quantities.

Front

What is the constant of proportionality?

Back

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

Front

If y = 19.25x, is this a proportional relationship?

Back

Yes, this is a proportional relationship because it can be expressed in the form y = kx.

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

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not a proportional relationship.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the equation y = 2x + 3, which does not maintain a constant ratio.