# 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

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