Constant of Proportionality (COP)

Front

What is the Constant of Proportionality (COP)?

Back

The Constant of Proportionality (COP) is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Tags

CCSS.7.RP.A.2A

Front

What does a straight line through the origin on a graph indicate?

Back

A straight line through the origin indicates a proportional relationship between the two variables.

Tags

CCSS.7.RP.A.2D

Front

If the COP is 3, what does this mean in a real-world context?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 3 units.

Tags

CCSS.HSF.LE.B.5

Front

What is the formula to find the Constant of Proportionality?

Back

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

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a graph is not linear?

Back

If a graph is not linear, it indicates that the relationship between the variables is not proportional.

Tags

CCSS.8.F.A.3

Front

In a proportional relationship, what happens to the ratio if both quantities are multiplied by the same number?

Back

The ratio remains the same, and the relationship stays proportional.

Tags

CCSS.7.RP.A.2D

Front

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

Back

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

Tags

CCSS.7.RP.A.2A

Front

How can you identify the COP from a graph?

Back

You can identify the COP by finding the slope of the line, which represents the rate of change.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the y-axis in a proportional graph?

Back

The y-axis typically represents the dependent variable in a proportional relationship.

Tags

CCSS.7.RP.A.2D