b varies directly as a, and b = 78
when a = 13, solve for b when a = 23
varies directly as
varies directly as means
b = ka where k is a constant
ak = b
Plugging in b = 78 when a = 13
78 = 13k
Divide each side by 13
| 13k | |
| 13 |
| = |
| 78 |
| 13 |
Cancel the 13 on the left side
| = |
| 78 |
| 13 |
Plug in k = 6
b = 6a
We were given that a = 23
b = 6(23)
b = 138
You have 2 free calculationss remaining
What is the Answer?
b = 138
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
Variation Equations Calculator Video
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