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# What Is a Constant of Variation?

**The constant of variation is a number that relates two variables that are directly proportional to one another.** The number represents a fixed ratio between the two variables, describing how they correspondingly increase or decrease. Constants of variation cannot be calculated for linear expressions that involve variables that are equal to multiple arithmetic terms. If the dependent variable does not equal zero when the independent variable equals zero, the two are not constantly varying.

The constant of variation is either the slope or the inverse of the slope in a simple linear equation. Constants in algebraic expressions are values that do not change. When two variables are directly proportional, the increase in one leads to an increase in the other.

Speed and distance are two such variables. As the speed of a moving object increases, the distance traveled in a fixed amount of time increases. In this example, the fixed time is the constant of variation that ties the variables speed and distance together. Fixing the speed and relating the distance traveled to the time elapsed turns this speed into the constant of variation. Pi is the constant of variation in the circle area formula, whereas the two variables are the circle area and the square of the radius.

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Q:
## How Is Coefficient of Variation Interpreted?

A: Coefficient of variation is defined as the ratio of standard deviation to the arithmetic mean. Coefficient of variation gives a sense of "relative variabil... Full Answer >Filed Under: -
Q:
## What Is the Importance of Standard Deviation?

A: Standard deviation is a measure of variation in data. It allows comparison between two or more sets of data to determine if their averages are truly differ... Full Answer >Filed Under: -
Q:
## What Does Coefficient of Variation Measure?

A: The coefficient of variation is used in statistics to measure distribution. It can be found from the ratio of the standard deviation over the mean of a set... Full Answer >Filed Under: -
Q:
## Why Do We Use Standard Deviation?

A: Standard deviation is a measure of the variation or diversity of scores in a set of data. It is used to determine how much data varies from the average of ... Full Answer >Filed Under: