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
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.
* 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
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
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