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)

Question

Responses

−$72.00
negative $72.00

−$72.50
negative $72.50

−$75.00
negative $75.00

$75.00

Answer 1

To calculate the contestant's balance of prize money, we need to find out how much he lost from answering 6 questions wrong.

The contestant loses $12.50 for each wrong answer. Therefore, for 6 wrong answers, the total loss can be calculated as follows:

\[ \text{Total Loss} = \text{Number of Wrong Answers} \times \text{Loss per Wrong Answer} \] \[ \text{Total Loss} = 6 \times 12.50 = 75.00 \]

Since he has not answered any questions correctly, his overall balance of prize money would be:

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

So the contestant's balance of prize money is:

\[ \boxed{-75.00} \]

The correct response is −$75.00.