Answer
see image
Work Step by Step
a) We represent the two values ($10$ and $15$) 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
$$\begin{align}\
d& = 0.5 \cdot (max - min)\\
&= 0.5\cdot (15 - 10)\\
&= 2.5.
\end{align}$$
Halfway point, $h$ is
$$\begin{align}
h& = min + d\\
&= 10 + 2.5\\
&= 12.5.
\end{align}$$ Substituting $d$ and $h$ in equation $(1)$, the absolute value equation that represents the minimum and maximum distances is $$| x - 12.5| = 2.5.$$
