Direct and Inverse 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. If y varies directly with x, then y = kx, where k is the constant of variation.

Front

What is Inverse Variation?

Back

Inverse Variation is a relationship between two variables where the product of the two variables is a constant. If y varies inversely with x, then y = k/x, where k is the constant of variation.

Front

What is the constant of variation in Direct Variation?

Back

In Direct Variation, the constant of variation (k) is the ratio of y to x (k = y/x).

Front

What is the constant of variation in Inverse Variation?

Back

In Inverse Variation, the constant of variation (k) is the product of x and y (k = xy).

Front

If y = 3x, what type of variation is this?

Back

This is a Direct Variation.

Front

If xy = 15, what type of variation is this?

Back

This is an Inverse Variation.

Front

True or False: In Direct Variation, if x increases, y also increases.

Back

True.

Front

True or False: In Inverse Variation, if x increases, y decreases.

Back

True.

Front

What does the graph of a Direct Variation look like?

Back

The graph of a Direct Variation is a straight line that passes through the origin.

Front

What does the graph of an Inverse Variation look like?

Back

The graph of an Inverse Variation is a hyperbola.