Direct and Inverse Variation Flashcard Review

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 in the form 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 in the form y = k/x, where k is a non-zero constant.

Front

How can you identify direct variation from a graph?

Back

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

Front

How can you identify inverse variation from a graph?

Back

A graph represents inverse variation if it is a hyperbola that approaches the axes but never touches them.

Front

What does it mean if a relationship is neither direct nor inverse variation?

Back

If a relationship is neither direct nor inverse variation, it means that the variables do not have a consistent multiplicative or additive relationship.

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 determine if a table represents direct variation?

Back

A table represents direct variation if the ratio of y to x (y/x) is constant for all pairs of values.

Front

How do you determine if a table represents inverse variation?

Back

A table represents inverse variation if the product of x and y (xy) is constant for all pairs of values.

Front

What is the constant of variation in direct variation?

Back

The constant of variation in direct variation is the value of k in the equation y = kx.