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
What grade math is this ?
From the scatter plot, the equation that could represent the relationship shown is y = 1/2x + 7.
I have a very expert technique that is very easy to changed decimal into mixed fraction
All you have to do is nevermind of the integer sign
So we will move on to 30.75
The first is write it in word so 30.75 is thirty and seventy five hundreths
Then analyze so 30 is the whole number and 75 is numerator then 100 is the denominator
So it is 30 75/100 then simplify it to the lowest terms
= 123/4 or 30 3/5