Answer:
Part A) The number line in the attached figure
Part B) The absolute value equation is 
Step-by-step explanation:
Part A) Represent these two distances on a number line
we know that
The minimum distance between two fence posts is 4 feet, and the maximum distance is 10 feet
Let
x ----> the distance between the two fence post
so

The interval is -------> [4,10]
using a graphing tool
see the attached figure
In a number line the solution is the shaded area at right of x=4 (close circle) and at the left of x=10 (close circle)
Part B) Write an absolute value equation that represents the minimum and maximum distances
Find the midpoint of the interval [4,10]

substitute the values


The distance from the midpoint to the endpoints of the interval is 3 feet
so
The absolute value equation is

<em>Verify</em>
<u>Solve the absolute value</u>
case 1) positive value

Solve for x
----> maximum distance
case 2) negative value

Solve for x

----> minimum distance
Answer:
Step-by-step explanation: 675 ssa SAS 342w
With there being 10 slices of cake with each cake, around 3.4 cakes were sold.
True, because (x) times one is always going to be (x).
So, this will be
1.2(1) + 3.6(1) =4.8