## 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

k = 5 x 2

k = 10

##### Plug in k = 10

 x  = 10 y

##### Given that x = 4

 x  = 10 4

x = 2.5

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