Constant of Proportionality (COP)

Front

What is the Constant of Proportionality (COP)?

Back

The Constant of Proportionality is a constant value that relates two proportional quantities. It is the ratio of one quantity to another when the two quantities are directly proportional.

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 proportional relationship look like on a graph?

Back

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

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is the formula to calculate the Constant of Proportionality?

Back

COP = y/x, where y is the dependent variable and x is the independent variable.

Front

If the COP is 9, what does this mean in a real-world context?

Back

If the COP is 9, it means for every unit increase in the independent variable, the dependent variable increases by 9 units.

Front

What does it mean if data is not proportional?

Back

If data is not proportional, it means that the ratio between the two quantities is not constant.

Front

How can you tell if a graph is non-proportional?

Back

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

Front

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

Back

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

Front

What is the Constant of Proportionality for the equation y = 5x?

Back

The Constant of Proportionality is 5.