If r varies inversely with w -1. If r = 3/50 when w = 3, how do you find r when w is 10?

May 22, 2016

$r = \frac{3}{25 \left(w - 1\right)}$

Explanation:

$r \text{ "alpha" } \frac{1}{w - 1}$

Let the constant of variation be $k$ then:

$r = \frac{k}{w - 1}$

Given condition$\text{ } \to \frac{3}{50} = \frac{k}{3 - 1} \to \frac{3}{50} = \frac{k}{2}$

Multiply both sides by 2

$k = \frac{6}{50} = \frac{3}{25}$

Thus the equation is $r = \frac{3}{25} \times \frac{1}{w - 1} \to r = \frac{3}{25 \left(w - 1\right)}$