Proportional vs. Non-Proportional Equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the equation for a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

It represents the constant ratio between two proportional quantities.

Front

Does the equation y = 2x + 3 show a proportional relationship?

Back

No, because it includes a constant term (3) that prevents a constant ratio.

Front

Does the equation y = 4x represent a proportional relationship?

Back

Yes, because it can be expressed in the form y = kx.

Front

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

Back

5, because it is the coefficient of x.

Front

If y = 3x + 1, what is the constant of proportionality?

Back

There isn't one, because the equation is not proportional.

Front

How can you tell if an equation is proportional?

Back

If it can be written in the form y = kx without any additional constant.

Front

What is an example of a non-proportional relationship?

Back

y = 2x + 5 is non-proportional because of the constant term.

Front

If y = 0.5x, is this a proportional relationship?

Back

Yes, because it can be expressed as y = kx with k = 0.5.