Direct Variation

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is the constant of variation.

Front

What is the equation of a direct variation?

Back

The equation of a direct variation is in the form y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio of y to x in a direct variation, indicating how much y changes for a unit change in x.

Front

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

Back

The constant of proportionality is 3.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if it can be expressed in the form y = kx, and the graph of the relationship is a straight line that passes through the origin.

Front

Is the equation y = 7x + 3 proportional?

Back

No, because it does not pass through the origin.

Front

What is an example of a direct variation equation?

Back

An example of a direct variation equation is y = 2x.

Front

If the constant of proportionality is 16, what is the equation?

Back

The equation is y = 16x.

Front

What is the constant of proportionality if y = 45 when x = 1?

Back

The constant of proportionality is 45.

Front

If y = 3x and x = 4, what is y?

Back

y = 12.