# V varies inversely with T and V = 14 when T = 7. Which equation shows this relationship?

Apr 25, 2016

$V \cdot T = 98$

#### Explanation:

If $V$ varies inversely as $T$ then
$\textcolor{w h i t e}{\text{XXX}} \textcolor{red}{V} \cdot \textcolor{b l u e}{T} = c$ for some constant $c$

We are told $\textcolor{red}{V = 14}$ when $\textcolor{b l u e}{T = 7}$
So
$\textcolor{w h i t e}{\text{XXX}} \textcolor{red}{14} \cdot \textcolor{b l u e}{7} = c$

$\textcolor{w h i t e}{\text{XXX}} \Rightarrow c = 98$

and
$\textcolor{w h i t e}{\text{XXX}} V \cdot T = 98$