Joseph will have a 200-foot-long fence installed around his yard. The A+ Fence Company charges a $500.00 fee, plus a set amount per foot of fence. The A+ Fence Company has given Joseph an estimate of $2,200.00 to install the fence around his yard. What is the set amount per foot of fence?

Options

A. $ 4.00
B. $ 4.80
C. $ 8.50
D. $ 11.00

Answer

To find the set amount per foot of fence that Joseph will be charged, we can follow these steps:

### Step 1: Understand the total cost formula
The total cost for installing the fence can be expressed as:
\[ \text{Total Cost} = \text{Initial Fee} + (\text{Set Amount per Foot} \times \text{Length of Fence}) \]

### Step 2: Identify the known values
From the problem, we know:
- Initial Fee = $500
- Length of Fence = 200 feet
- Total Cost = $2,200

### Step 3: Set up the equation
Let \( x \) be the set amount per foot of fence. We can substitute the known values into the formula:
\[ 2200 = 500 + (x \times 200) \]

### Step 4: Simplify the equation
Subtract the initial fee from both sides:
\[ 2200 - 500 = 200x \]
This simplifies to:
\[ 1700 = 200x \]

### Step 5: Solve for \( x \)
Now, divide both sides by 200 to find \( x \):
\[ x = \frac{1700}{200} \]
Calculating this gives:
\[ x = 8.5 \]

### Step 6: Conclusion
Thus, the set amount per foot of fence is:
\[ \text{Set Amount per Foot} = \$8.50 \]

### Final Answer
The correct answer is option C: $8.50.

---