Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It is found by dividing one quantity by the other.

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 for any pair of values.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate, meaning they increase or decrease together.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality, indicating how much y changes for a unit change in x.

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

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What is the constant of proportionality if y = 8x?

Back

The constant of proportionality is 8.

Front

If a table shows values (2, 6), (4, 12), and (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3, since 6/2 = 12/4 = 18/6 = 3.

Front

What happens to the constant of proportionality if the relationship is not proportional?

Back

If the relationship is not proportional, there is no constant of proportionality, as the ratio between the quantities changes.

Front

What is the formula to calculate the constant of proportionality?

Back

The formula to calculate the constant of proportionality is k = y/x, where y and x are the two proportional quantities.