To find the contestant's balance of prize money, we start by calculating the total amount lost due to the 6 wrong answers. The contestant loses $12.50 for each wrong answer.
Total loss = Number of wrong answers × Loss per wrong answer
Total loss = 6 × $12.50 = $75.00
Since the contestant answered all questions wrong and none correctly, the balance of prize money is negative:
Balance = -$75.00
Therefore, the correct response is:
−$75.00