Final answer:
The total cost of Sam's cable service for a year, including the $150 installation fee and $45 monthly fee for 12 months, is $690, which is Option C.
Option 'C' is the correct.
Step-by-step explanation:
The question asks to calculate the total cost for Sam's cable service for a year. The cable company charges a one-time installation fee of $150 and a recurring monthly fee of $45 per month. To find the total cost for 12 months, we need to add the installation fee to the sum of the monthly charges for a year.
First, we calculate the total monthly charges for a year (which is 12 months):
- Total Monthly Charges = Monthly Fee × Number of Months
- Total Monthly Charges = $45 × 12 = $540
Next, we add the installation fee to get the total annual cost:
- Total Annual Cost = Installation Fee + Total Monthly Charges
- Total Annual Cost = $150 + $540 = $690
Therefore, the correct answer is Option C: $690.