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# 12.1: Inverse Variation Models

Difficulty Level: Basic Created by: CK-12
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### Vocabulary Language: English Spanish

asymptote

An asymptote is a straight line to which, as the distance from the origin gets larger, a curve gets closer and closer but never intersects. The line is often shown with a dashed or dotted line.

hyperbola

A hyperbola is a curve with two distinct and similar branches. Geometrically, the curve's two branches are formed by cutting a right circular cone with a plane. Algebraically, hyperbolas come from equations of the form $\frac{x^2}{a}-\frac{y^2}{b}=\pm 1$.

Inverse Variation

Inverse variation is a relationship between two variables in which the product of the two variables is equal to a constant. As one variable increases the second variable decreases proportionally.

Constant of Proportionality

The constant of proportionality, commonly represented as $k$ is the constant ratio of two proportional quantities such as $x$ and $y$.

Direct Variation

When the dependent variable grows large or small as the independent variable does.

Joint Variation

Variables exhibit joint variation if one variable varies directly as the product of two or more other variables.

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Difficulty Level:
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