# If I varies inversely with R and I = 0.75 when R = 14, which equation should be used to show this relation?

Jun 12, 2018

$I = \frac{10.5}{R}$

#### Explanation:

$\text{the initial statement is } I \propto \frac{1}{R}$

$\text{to convert to an equation multiply by k the constant}$
$\text{of variation}$

$I = k \times \frac{1}{R} = \frac{k}{R}$

$\text{to find k use the given condition}$

$I = 0.75 \text{ when } R = 14$

$I = \frac{k}{R} \Rightarrow k = I R = 0.75 \times 14 = 10.5$

$\text{equation is } \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{I = \frac{10.5}{R}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$