ZingB

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.Click to see full answer. Subsequently, one may also ask, what is the constant of variation example?The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. where k is the constant of variation . Example 1: If y varies directly as x and y=15 when x=24 , find x when y=25 .Furthermore, what does direct variation mean? Definition of direct variation. 1 : mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. 2 : an equation or function expressing direct variation — compare inverse variation. Simply so, how do you find the constant variation? Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.Is slope the constant of variation?The graph of a direct variation always passes through the origin (0,0) and represents a proportional situation. In the equation, y = kx, k is called the constant of variation. It is also called the slope, or the rate of change. So, “constant of variation” and “slope” and “rate of change” are all synonymous.

ncG1vNJzZmivp6x7pLHLnpmroaSesrSu1LOxZ5ufonuotI6wn5qsXZm8pr%2BMrZ%2BeZZOku7TAwKerZqeWYsOivsiaq6KnnmK%2FprzRnqqepqRk