$p\propto q^3$, and $p=54$ when $q=3$. Find $p$ in terms of $q$. Find $p$ when \(q=

Question

$p\propto q^3$, and $p=54$ when $q=3$. Find $p$ in terms of $q$. Find $p$ when $q=5$. Find the percentage increase in $p$ when $q$ increases by $20\%$.

Accepted Answer

(a) $p=2q^3$; (b) $250$; (c) $72.8\%$.

Direct and Inverse Proportion

Direct and Inverse Proportion