Answer
a) See image
b) $|x-92.95|=1.55$
Work Step by Step
a) We graph the numbers $91.4$ and $94.5$ on the number line.
b) The absolute value equation will be of the format $$| x - h | = d,\tag{1}$$ where $d$ is the distance from halfway point to $max$ or $min$ value and $h$ is the halfway point between the $min$ and $max$ values in the number line.
The distance d is obtained as
$$\begin{align}
d& = 0.5 \cdot (max - min)\\
&= 0.5 \cdot (94.5 - 91.4)\\
&= 1.55.
\end{align}$$ The halfway point is
$$\begin{align}
h& = min + d\\
& = 91.4 + 1.55\\
& = 92.95.
\end{align}$$
Substituting in equation $(1)$, the absolute value equation that represents the minimum and maximum distances is $$| x - 92.95| = 1.55.$$
