# How do you find the constant of proportionality and write an equation if q is inversely proportional to p, and q = 3 / 2 when p = 60?

Oct 5, 2015

constant of proportionality: $90$
equation: $p \cdot q = 90$

#### Explanation:

If $p$ and $q$ are inversely proportional, then
$\textcolor{w h i t e}{\text{XXXX}} \textcolor{red}{p} \cdot \textcolor{b l u e}{q} = c$ for some constant $c$ (the constant of proportionality)

We are told
$\textcolor{w h i t e}{\text{XXXX}} \textcolor{red}{60} \cdot \textcolor{b l u e}{\frac{3}{2}} = c$

$\rightarrow \textcolor{w h i t e}{\text{XXXX}} c = 90$