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. It can be expressed as y = kx, where k is a non-zero constant.

Front

What is Inverse Variation?

Back

Inverse Variation is a relationship between two variables where the product of the two variables is a constant. It can be expressed as y = k/x, where k is a non-zero constant.

Front

What is the equation for Direct Variation?

Back

The equation for Direct Variation is y = kx, where k is the constant of variation.

Front

What is the equation for Inverse Variation?

Back

The equation for Inverse Variation is y = k/x, where k is the constant of variation.

Front

How do you identify a Direct Variation graph?

Back

A Direct Variation graph is a straight line that passes through the origin (0,0).

Front

How do you identify an Inverse Variation graph?

Back

An Inverse Variation graph is a hyperbola that approaches the axes but never touches them.

Front

What is the constant of variation in Direct Variation?

Back

The constant of variation in Direct Variation is the ratio of y to x, represented as k = y/x.

Front

What is the constant of variation in Inverse Variation?

Back

The constant of variation in Inverse Variation is the product of x and y, represented as k = xy.

Front

If y varies directly with x, and y = 10 when x = 2, what is the constant of variation?

Back

The constant of variation k = y/x = 10/2 = 5.

Front

If y varies inversely with x, and y = 4 when x = 3, what is the constant of variation?

Back

The constant of variation k = xy = 4 * 3 = 12.