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

If y = kx, what does k represent?

Back

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

Front

Identify the constant of proportionality in the equation y = 3x.

Back

The constant of proportionality is k = 3.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

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

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

Front

What is the constant of proportionality if x = 4 and y = 12?

Back

k = y/x = 12/4 = 3.

Front

Which of the following equations is proportional: y = 5x or y = 2x - 1?

Back

y = 5x is proportional; y = 2x - 1 is not proportional.

Front

If the constant of proportionality is k = 2, what is y when x = 6?

Back

y = kx = 2 * 6 = 12.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

The constant of proportionality is equal to the slope of the line in a graph of a proportional relationship.

Front

If a table shows (1, 2), (2, 4), (3, 6), what is the constant of proportionality?

Back

k = 2, since y/x = 2 for all pairs.