Direct Variation Calculator
Online calculators and formulas for calculating direct proportionality
This function calculates the constant of proportionality 'k' for direct proportionality, the independent variable 'x' or the dependent variable 'y'.
Use the radio button to select which value should be calculated and enter the known values. Then click on the 'Calculate' button.
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Description and formula for proportionality
Proportional quantities are proportionally equal; that is, for the proportional quantities \( x\) and \( y\), doubling or halving the quantity \(x\) is always associated with doubling or halving the quantity \( y\). The ratio of \( x : y\) is called the proportionality factor or proportionality constant \(k\).
Formula:
Calculation of \( y\)
\[\displaystyle y=k ·x\]
\(x\) independent variable \(y\) dependent variable \(k\) proportionality constant
proportionality constant Calculate \(k\):
\[ k=\frac{y}{x}\]
Example:
Given:
\[ x=4, \ y=8\]
Calculate \(k\)
\[k=\frac{y}{k}=\frac{8}{4}=2\]
Calculate \(y\) for \(x=6:\)
\[y=k·x=2·6=12\]
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