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, defined as the ratio of one quantity to another.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between two quantities remains constant.

Front

What is the formula for finding the constant of proportionality from a table?

Back

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

Front

In the equation y = kx, what does k represent?

Back

k represents the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does it mean if a table does not represent a proportional relationship?

Back

It means that the ratios of the quantities do not remain constant.

Front

If the constant of proportionality is 1/2, what does this imply about the relationship?

Back

It implies that for every 1 unit increase in x, y increases by 1/2 units.

Front

How can you express a proportional relationship using an equation?

Back

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

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If a table shows (2, 6), (4, 12), (6, 18), is this proportional? What is k?

Back

Yes, it is proportional. The constant of proportionality k = 3.