Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two variables that are directly proportional to each other.

Front

If the constant of proportionality k = 45, what does it mean in terms of distance and time?

Back

It means that for every 1 hour, the boat travels 45 miles.

Front

How do you identify the constant of proportionality from a graph?

Back

You can identify it by finding the ratio of the change in the dependent variable to the change in the independent variable.

Front

What does it mean if the constant of proportionality is negative?

Back

A negative constant of proportionality indicates an inverse relationship between the two variables.

Front

If k = 1/30, what does this imply about the relationship between the variables?

Back

It implies that for every 30 units of the independent variable, the dependent variable changes by 1 unit.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

It helps to understand how two quantities are related and allows for predictions based on that relationship.

Front

If a relationship is not proportional, what can be said about the constant of proportionality?

Back

If a relationship is not proportional, the constant of proportionality does not exist.

Front

How can you determine if a set of data points is proportional?

Back

You can determine if a set of data points is proportional by checking if the ratios of corresponding values are constant.

Front

What is the formula to find the constant of proportionality?

Back

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

Front

If k = 2, what does this indicate about the relationship between the variables?

Back

It indicates that for every 1 unit increase in the independent variable, the dependent variable increases by 2 units.