To find the contestant's balance of prize money after answering 6 questions wrong, we need to calculate the total loss from the wrong answers.
The loss per wrong answer is $12.50. Since the contestant answered 6 questions wrong, the total loss can be calculated as follows:
Total loss = Number of wrong answers × Loss per wrong answer
Total loss = 6 × $12.50 = $75.00
Since the contestant only has losses and no winnings, their balance of prize money is:
Balance = 0 - Total loss = 0 - $75.00 = -$75.00
Thus, the contestant's balance of prize money is -$75.00.