Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It indicates how one quantity changes in relation to another.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity. The result should be the same for all pairs of values.

Front

What does a constant of proportionality of 3 mean?

Back

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

Front

If the constant of proportionality is 0.5, what does this indicate?

Back

If the constant of proportionality is 0.5, it indicates that for every unit increase in one quantity, the other quantity increases by half a unit.

Front

True or False: The constant of proportionality is the same as the unit rate.

Back

True

Front

What is the unit rate?

Back

The unit rate is a special case of the constant of proportionality where one of the quantities is 1.

Front

If a table shows values of 2 and 6, what is the constant of proportionality?

Back

The constant of proportionality is 3, calculated by dividing 6 by 2.

Front

What is the relationship between proportionality and linear functions?

Back

In linear functions, the constant of proportionality represents the slope of the line, indicating the rate of change.

Front

If the constant of proportionality is 9, what does this imply about the two quantities?

Back

It implies that for every unit increase in one quantity, the other quantity increases by 9 units.

Front

How can you express the constant of proportionality in a mathematical equation?

Back

The constant of proportionality can be expressed as y = kx, where k is the constant of proportionality.