Enter variation details below:

 when 
<-- Given

y varies inversely as x, and y = 5

when x = 2, solve for x when y = 4

varies inversely as

y  =  k
  x

where k is a constant

Plug in y = 5 when x = 2

5  =  k
  2

Cross Multiply

k = 5 x 2

k = 10

Plug in k = 10

x  =  10
  y

Given that x = 4

x  =  10
  4

x = 2.5


You have 2 free calculationss remaining




What is the Answer?
x = 2.5
How does the Variation Equations Calculator work?
Free Variation Equations Calculator - This calculator solves the following direct variation equations and inverse variation equations below:
* y varies directly as x
* y varies inversely as x
* y varies directly as the square of x
* y varies directly as the cube of x
* y varies directly as the square root of x
* y varies inversely as the square of x
* y varies inversely as the cube of x
* y varies inversely as the square root of x
This calculator has 3 inputs.

What 6 formulas are used for the Variation Equations Calculator?

y = kx
y = k/x
y = kx^2
y = k/x^2
y = kx^3
y = k/x^3

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Variation Equations Calculator?

constant of proportionality
the ratio that relates two given values in what is known as a proportional relationship
k
inverse
opposite or contrary in position
variation equations
Equations with variables dependent on another variable

Variation Equations Calculator Video


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