Variation Equations Calculator

Publish date: 2024-06-24

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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

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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
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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