Direct/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 xy = k, where k is a non-zero constant.

Front

What does the Direct Variation Equation look like?

Back

y = kx

Front

What does the Inverse Variation Equation look like?

Back

xy = k

Front

What is the constant of variation in Direct Variation?

Back

The constant of variation (k) is the ratio of y to x in the equation y = kx.

Front

What is the constant of variation in Inverse Variation?

Back

The constant of variation (k) is the product of x and y in the equation xy = k.

Front

What ordered pair does a direct variation always go through when graphed?

Back

(0, 0)

Front

How can you identify a direct variation from a graph?

Back

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

Front

How can you identify an inverse variation from a graph?

Back

An inverse variation graph is a hyperbola that approaches the axes but never touches them.

Front

Is the relationship between the variables in the equation y = 3/x an example of direct or inverse variation?

Back

Inverse Variation.