Constant of Proportionality (COP)

Front

What is the Constant of Proportionality (COP)?

Back

The Constant of Proportionality (COP) is a constant value that relates two proportional quantities, often represented as the ratio of one quantity to another.

Front

How do you find the Constant of Proportionality from a table?

Back

To find the COP from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

What does a COP of 75 indicate in a proportional relationship?

Back

A COP of 75 indicates that for every unit increase in one quantity, the other quantity increases by 75 units.

Front

If the COP is 1/25, what does this mean?

Back

A COP of 1/25 means that for every 25 units of one quantity, there is 1 unit of the other quantity.

Front

What is the significance of a COP of 3 in a proportional relationship?

Back

A COP of 3 means that for every unit increase in one quantity, the other quantity increases by 3 units.

Front

How can you determine if a relationship is proportional from a graph?

Back

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

Front

What does it mean if a table shows a COP of 0?

Back

A COP of 0 indicates that there is no relationship between the two quantities; as one quantity increases, the other remains constant at zero.

Front

What is the relationship between the slope of a line and the Constant of Proportionality?

Back

In a proportional relationship, the slope of the line on a graph represents the Constant of Proportionality.

Front

If a graph has a COP of 40, what can you infer about the relationship?

Back

If a graph has a COP of 40, it indicates that for every unit increase in the independent variable, the dependent variable increases by 40 units.

Front

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

Back

A non-proportional relationship does not maintain a constant ratio between two quantities; the graph does not pass through the origin.