Final answer:
The correct answer is option B. $4950.The balance in the student's account after the monthly decline in September is $4950, which is option B.
Step-by-step explanation:
To find the balance in September, we need to subtract the monthly decline from the initial balance. The monthly decline is $550, and since September is the first month, we do not need to subtract anything. Therefore, the balance in September is $5500 - $550 = $4950.
The student's account has $5500 on September 1st. If the account declines by $550 each month, then to find the balance in September after the decline, we subtract $550 from the initial amount. This gives us a new balance of $5500 - $550 = $4950. Since the question asks for the balance in September after the deduction, we do not need to subtract any more as we are only looking for the September balance immediately after the decline for that month.
So, the balance in September is $4950.