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 where the ratio of one quantity to another is not constant.

Front

How can you identify a proportional relationship in a table?

Back

A table shows a proportional relationship if the ratios of corresponding values are equal.

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 not a straight line or does not pass through the origin.

Front

If the equation is y = 2x, is it proportional or non-proportional?

Back

It is proportional because the ratio of y to x is constant (2).

Front

If the equation is y = 2x + 3, is it proportional or non-proportional?

Back

It is non-proportional because it does not pass through the origin.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

Can a proportional relationship have a zero value?

Back

Yes, a proportional relationship can have a zero value, as both quantities can be zero at the same time.

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.