Proportional or 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 graph?

Back

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

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship, as the ratio between the two quantities is not constant.

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; for instance, if you travel at 60 miles per hour, the distance increases proportionally with time.

Front

What is an example of a non-proportional relationship?

Back

An example is the relationship between the number of hours worked and total pay if there is a fixed salary plus overtime; the total pay does not increase at a constant rate.

Front

What does the slope of a proportional graph represent?

Back

The slope of a proportional graph represents the constant ratio between the two quantities.

Front

Can a graph be both proportional and non-proportional?

Back

No, a graph is either proportional or non-proportional based on whether it passes through the origin and maintains a constant ratio.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero, maintaining a constant ratio.

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values are constant across the table.