A website-hosting service charges businesses a onetime setup fee of $350 plus d dollars for each month. If a business owner paid $1,010 for the first 12 months, including the setup fee, what is the value of d ?

Options

A. 25
B. 35
C. 45
D. 55

Explanation

To solve the problem step by step, we can follow these instructions:

1. **Identify the total cost paid by the business owner**:
The total amount paid for the first 12 months is $1,010.

2. **Identify the setup fee**:
The one-time setup fee is $350.

3. **Determine the monthly cost**:
Let \( d \) represent the monthly charge. Since the business owner paid for 12 months, the total charge for the months would be \( 12d \).

4. **Set up the equation**:
The total cost for the first 12 months can be expressed as:
\[ \text{Total Cost} = \text{Setup Fee} + \text{Monthly Charges} \]
Therefore, we can write the equation as:
\[ 1010 = 350 + 12d \]

5. **Rearrange the equation to isolate \( 12d \)**:
Subtract the setup fee from both sides:
\[ 1010 - 350 = 12d \]
Simplifying this gives:
\[ 660 = 12d \]

6. **Solve for \( d \)**:
Divide both sides by 12 to find \( d \):
\[ d = \frac{660}{12} \]
Simplifying this gives:
\[ d = 55 \]

Thus, the value of \( d \) is **$55**.