Enter your keyword

Inverse Variation Formula

Inverse variation is the relationship of two variables as variable increases in its value as the other variable decreases and vice-versa. In other words, as the mathematical expression the relationship between two variables whose product is a constant.

The Inverse Variation Formula is,

\[\large y=\frac{k}{x}\]

Solved Examples

Question 1: If y varies inversely with $x$ and when $y=100$, $x=30$. What is the value of $y when $x=10$ ?

Solution:

Given,
y = 100
x = 25

The inverse variation formula is,

$y=\frac{k}{x}$

$100=\frac{k}{30}$

$k = 100 \times 30$

k = 3000

Now,
x = 10
k = 3000

y = $\frac{k}{x}$

y = $\frac{3000}{10}$

y = 300

Related Links
Reynolds Number FormulaIntegration By Substitution Formula
Average Deviation FormulaRatio Analysis Formula
Binding Energy FormulaMass Flow Rate Formula
Mass Percent FormulaNatural Log Formula
Fibonacci FormulaUniversal Gravitation Formula
Byjus Formulas