\[ q=\frac{1}{6} p^{2} \] $p=13.6$ 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.

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