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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?

1 Answer

Oct 5, 2015

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

Explanation:

If $p$ $p$ and $q$ $q$ are inversely proportional, then
$XXXX p \cdot q = c$ $color(white)("XXXX")color(red)(p)*color(blue)(q)=c$ for some constant $c$ $c$ (the constant of proportionality)

We are told
$XXXX 60 \cdot \frac{3}{2} = c$ $color(white)("XXXX")color(red)(60)*color(blue)(3/2) = c$

$\to XXXX c = 90$ $rarrcolor(white)("XXXX")c=90$

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