Variation Equations Calculator

Publish date: 2024-05-11

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y varies directly as x, and y = 36

when x = 4, solve for y when x = 6

varies directly as

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

xk = y

Plugging in y = 36 when x = 4

36 = 4k

Divide each side by 4

Cancel the 4 on the left side

Plug in k = 9

y = 9x

We were given that x = 6

y = 9(6)

y = 54

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What is the Answer?

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 proportionalitythe ratio that relates two given values in what is known as a proportional relationship
kinverseopposite or contrary in positionvariation equationsEquations with variables dependent on another variable