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 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 graph?

Back

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

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope represents the constant ratio between the two quantities.

Front

If a graph has a y-intercept greater than zero, is it proportional?

Back

No, if a graph has a y-intercept greater than zero, it is non-proportional.

Front

What does it mean if a graph is non-proportional?

Back

It means that the relationship between the two variables does not maintain a constant ratio, and the graph does not pass through the origin.

Front

Can a graph be proportional if it is not a straight line?

Back

No, a graph must be a straight line through the origin to be considered proportional.

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.

Front

What is an example of a non-proportional relationship?

Back

An example is the relationship between the number of items purchased and the total cost when there is a fixed fee added.