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A contestant on a game show is given $200 and is asked five questions. The contestant loses $40 for every wrong answer. Determine the domain and range.

User Itzo
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Final answer:

The domain is the number of questions answered incorrectly, ranging from 0 to 5, and the range is the amount of money the contestant can have, which is $200, $160, $120, $80, $40, and $0.

Step-by-step explanation:

The problem presents a scenario involving a game show contestant who starts with $200 and loses $40 for every question they answer incorrectly. To determine the domain and range for this situation, consider that the contestant is asked five questions and can lose money in increments of $40 up to five times, which influences both.

Domain: The domain in this context refers to the number of questions answered incorrectly. Thus, it ranges from 0 (no incorrect answers) to 5 (all answers incorrect).

Range: The range refers to the amount of money the contestant can end up with. Since they lose $40 per incorrect answer, starting with $200, the possible outcomes (or range) are $200, $160, $120, $80, $40, and $0.

User Guillem Xercavins
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