Proportional vs Non-proportional

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.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in a table?

Back

If the ratios of corresponding values are equal, the relationship is proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

If y = 3x, is this a proportional relationship?

Back

Yes, because the ratio of y to x is constant (3).

Front

If y = x + 2, is this a proportional relationship?

Back

No, because the ratio of y to x changes as x changes.

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.

Front

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

Back

A graph of a non-proportional relationship may be a straight line that does not pass through the origin or a curve.

Front

Can a proportional relationship have a y-intercept other than zero?

Back

No, a proportional relationship must pass through the origin (0,0).

Front

What is an example of a proportional relationship in real life?

Back

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