Constant of Proportionality Equations

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What does a proportional relationship look like in an equation?

Back

A proportional relationship can be expressed in the form y = kx, where k is a non-zero constant.

Front

Is the equation y = 2x - 3 proportional?

Back

No, because it includes a constant term (-3) that prevents it from being in the form y = kx.

Front

Which of the following equations is NOT proportional: y = 2x - 3, y = 150x, y = 1/2x?

Back

y = 2x - 3 is NOT proportional.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values; the result is the constant of proportionality (k).

Front

If y = 33x, what is the constant of proportionality?

Back

The constant of proportionality is 33.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit, often used to find the constant of proportionality.

Front

If the constant of proportionality is 5, what is the equation?

Back

The equation is y = 5x.

Front

What does it mean if an equation is proportional?

Back

It means that the relationship between the variables can be expressed as a constant ratio.

Front

Can the constant of proportionality be a fraction?

Back

Yes, the constant of proportionality can be a fraction, such as y = (1/2)x.