Constant of Proportionality - Graphs & Tables (no equations)

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

What does it mean for a graph to be proportional?

Back

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

Front

What does it mean for a graph to be non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or is not a straight line.

Front

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

Back

In a table of values, a proportional relationship can be identified if the ratio of the y-values to the x-values is constant.

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant in proportional graphs because it indicates that when the input (x) is zero, the output (y) is also zero.

Front

If a graph intersects the y-axis at a point other than the origin, is it proportional?

Back

No, if a graph intersects the y-axis at a point other than the origin, it is non-proportional.

Front

What does a straight line that does not pass through the origin indicate?

Back

A straight line that does not pass through the origin indicates a non-proportional relationship.

Front

Can a graph be both proportional and non-proportional?

Back

No, a graph cannot be both proportional and non-proportional; it must fit one definition.

Front

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

Back

An example of a proportional relationship 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 of a non-proportional relationship is the cost of a taxi ride that includes a base fare plus a charge per mile.