\[
q=\frac{1}{6} p^{2}
\]
$p=13.6$ correct to 3 significant figures.
By considering bounds, work out the value of $q$ to a suitable degree of accuracy. Give a reason for your answer.

Answer

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Answer

$\boxed{30.8}$ is the approximate value of q to one decimal place

Steps

Step 1 ：Find the lower and upper bounds of p: $13.55$ and $13.65$

Step 2 ：Calculate the corresponding values of q using the formula $q = \frac{1}{6}p^2$: $30.6$ and $31.1$

Step 3 ：$\boxed{30.8}$ is the approximate value of q to one decimal place