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.
Know MoreDirect 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 MoreScientist and engineers compare a measurement to the accepted value using the term accuracy. The measurement system must provide both accuracy and precision if it is valid.
Full Answer >Probability, or the mathematical chance that something might happen, is used in numerous day-to-day applications, including in weather forecasts. For example, a weather forecast that predicts a 75 percent chance of snow is using probability to communicate that people should be prepared to deal with snowy conditions.
Full Answer >The different ways in which probability is used in real life include making odds of winning a major lottery game, weather forecasting, having coin tosses in sports and the playing of board games. Permutations and combinations are important in games of chance, such as state lotteries. Statisticians use probability to figure out a player's chance at winning the jackpot.
Full Answer >An example of a negative correlation in practical terms is that as a chicken gets older, they tend to lay fewer eggs. This is a negative correlation because as the years of the chicken increase, the number of eggs decrease, meaning that the two numbers are moving opposite from each other.
Full Answer >