Direct Variation Formula

The direct variation equation is said to be the relationship between two variables. The result of the equation varies, when one of the variables in the equation gets varied. If the direct variation formula b = ka. The value of b is directly proportional to the value of a. Here, K represents the constant value. The constant value k does not create an impact on the result of the equation.  Direct variation is expressed in various mathematical equations. 

The Direct Variation Formula  (Mathematical equation)

Area of the circle (A) = πr²   

Here, 

A represents an area of the circle. 

r is the radius of the circle. 

is the constant value and the value of π is 3.14 or 22/7

According to the above direct variation formula, the area of the circle will vary depending on the radius of a circle. If the radius of a circle increases, the area of the circle also increases. If the radius of the circle decreases then the area of the circle also decreases. 

Inverse Variation Equation

The inverse variation formula shows the relationship between two variables in the equation. The result of the equation will vary when the value of the equation varies. If the value of the equation is increased then the result of the equation will decrease. If the inverse variation formula b = k / a. Here, the value of b is inversely proportional to the value of a. 

The best example for the Inverse variation equation is 

 y = k / x

y and x may vary and k is the constant of variation formula

Mathematical Inverse variation formula y = 3 / x.

Here, the value of y is inversely proportional to the value of x. If the value of x increases then the value of y will decrease. Further, the result of the equation forms an exponential graph. 

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Joint Variation Formula 

According to the joint variation formula, the result of the equation varies when two or more variables in the equation change. The result of the joint variation equation is directly proportional to the two or more variables. 

The best mathematical equation example for the joint variation formula is the Area of the triangle. 

Area of the triangle (A) = ½ b * h

Here, 

b represents the breath of the triangle

h represents the area of the triangle. 

Further, the value of the A varies directly formula, when b and h or either b or h are varied. 

Combined Variation Formula

The combined variation equation is the combination of the direct variation formula and inverse variation formula.  The result of the combined variation formula is directly proportional to the part of the value and inversely proportional to the part of the variable. 

The best mathematical example for the combined variation formula is the speed formula. 

Speed (s) = Distance (D) / Time (T)

Here, 

D represents the distance between two points

T represents the time taken to travel certain distances.