Enter variation details below:

 when 
<-- Given

y varies directly as x, and y = - 72

when x = 6, solve for y when x = 3

varies directly as

varies directly as means
y = kx where k is a constant

xk = y

Plugging in y = - 72 when x = 6

-72 = 6k

Divide each side by 6

6k
6
=
  
-72
6

Cancel the 6 on the left side

6k
6
=
  
-72
6

Plug in k = -12

y = -12x

We were given that x = 3

y = -12(3)

y = -36





What is the Answer?
y = -36
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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