On a quiz show, a contestant loses $12.50 in prize money for each wrong answer. One contestant has answered no questions right and 6 questions wrong. What is his balance of prize money?(1 point)

Responses

$75.00
$75.00

−$72.00
negative $72.00

−$75.00
negative $75.00

−$72.50

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To calculate the contestant's balance of prize money, we need to determine the total amount lost due to the wrong answers.

The contestant loses $12.50 for each wrong answer. Since the contestant answered 6 questions wrong, the total loss is:

\[
\text{Total loss} = \text{Loss per wrong answer} \times \text{Number of wrong answers} = 12.50 \times 6 = 75.00
\]

Since the contestant answered no questions correctly, their balance of prize money is equal to the total loss, which would be negative:

\[
\text{Balance} = -75.00
\]

Thus, the contestant's balance of prize money is \(-75.00\) (negative $75.00).

The correct response is:
**−$75.00 (negative $75.00)**