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Variation Solver — result sheet
Evaluates direct, inverse, and joint variation models from the constant k.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Direct y = kx; inverse y = k/x; joint y = kxz.
Plug k and the variables into the selected model. Inverse variation divides by x, so x cannot be zero; z is ignored except in joint mode.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Variation mode — 3 choices
- Constant k — minimum -1000000000; maximum 1000000000
- Value x — Must be nonzero for inverse variation.; minimum -1000000000; maximum 1000000000
- Value z (joint only) — Used only for joint variation.; minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Variation mode | direct |
| Constant k | 5 |
| Value x | 4 |
| Value z (joint only) | 2 |
y = 20 (direct: y = kx).
Assumptions and limits
- k is a fixed nonzero-friendly constant for the model.
- Inverse mode needs nonzero x; other modes allow zero inputs.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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