Given $\sqrt{p}$ is directly proportional to $\frac{1}{2}q$ and $p=25$ when $q=8$. Express \

Question

Given $\sqrt{p}$ is directly proportional to $\frac{1}{2}q$ and $p=25$ when $q=8$. Express $p$ in terms of $q$. Find the percentage decrease in $p$ if $q$ is decreased by $10\%$.

Accepted Answer

(a) $p=\frac{25}{64}q^2$, with $q\ge0$. (b) $19\%$ decrease for a positive initial value.

Direct Proportion Involving Square Roots

Direct Proportion Involving Square Roots

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