Finding the Constant of Variation

The term Constant of Variation is used to denote the constant factor in a relationship of direct or inverse variation between two variables, often symbolized as 'k'. In the case of direct variation, depicted as y=kx, the value of 'k' can be determined by the division of y by x. Conversely, in an inverse variation, represented as y=k/x, 'k' is ascertained by multiplying y with x.

The problems about Finding the Constant of Variation

Topic	Problem	Solution
None	If $y = k x^{2}$ , where $k$ is a constant, and \…	First, substitute $x = 5$ and $y = 25$ into the equation $y = k x^{2}$ , we get $25 = k (5)^{2}$ .