Different types of Variations

Types of Variation:

• Direct variation

• Inverse variation

• Combined variation

• Joint variation

 Direct variation:
            Variation with the special function which is defined by using the equation q = kp where k indicates the constant. The above given equation is defined as q varies directly as p or q is proportional to p. Constant k is known as the variation constant or proportionality constant.
Inverse variation:
            Consider any two variables, p & q differ in inverse, then q = k•(1/p) or  p•q = k then k is the constant of proportionality. If there is inverse variation between the variables p and q, then p doubles the value and it results the q to be cut in half. Whenever p is cut in half, then the value of q is doubled.
Combined variation:
            Variation that contains more than two type in variation which occurs in the same time is called as Combined Variation.
Joint variation:
            In a joint variation, there is a variation of quantity which appears in joint and it has equal time in their product. For example, variables are  a, b, and c where k is a constant, a varies jointly as b and c, if a - kbc. Here this joint variation is similar to direct where it contains the exception of having two variable factors, with constant in one number. Variation with variables that differ directly in the product of more than two variables. Equation of joint variation is expressed in terms of Z=kXY where k is used for denoting constant. The equation can be examined by variation of Z in joint with X and Y.


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