Q:
# What are some real-world examples of direct variations?

Direct variation exists when a worker is paid based on the number of hours worked. Another example of a direct variation is a taxi fare that varies according to the distance traveled. Direct variation occurs with two variables when the ratio of their values always remains the same. For example, if the value of A is always twice as much as B, they vary directly.

Continue Reading
Credit:
Sebastiaan Ter Berg
CC-BY-SA 2.0

Direct variation can be expressed as an equation, an algebraic expression or a geometric expression. To illustrate the concept of direct variation as an equation, take the equation y/x = 6. Y varies directly with X, with 6 being the constant in the equation. From the equation, it can be determined that Y is always six times greater than X. The equation y = kx is an example of an algebraic equation that illustrates direct variation. Both Y and X are always multiplied by the same amount. This equation is a linear equation. In addition to direct variations, other relationships between numbers and variables that remain constant exist in the mathematical world. Variables A and B are said to be inversely related to each other when A varies as the reciprocal of B. Variables can also be jointly related.

Learn more about Statistics-
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:
## 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:
## 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: -
Q:
## How many work hours are there per year?

A: According to the Organization for Economic Co-Development, the average number of actual work hours in the United States, per worker per year was 1,790 in 2... Full Answer >Filed Under: