To determine which statement is correct, let's analyze each given option based on the function modeling the student's quiz score as a function of hours spent playing video games.
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The student’s quiz score goes down by one point for every two hours she spent on video games.
- If playing more video games results in a lower quiz score, then this could be true. This suggests a negative correlation between hours played and quiz score.
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The student will earn four points on the quiz if she plays eight hours of video games.
- This depends on the specific relationship defined by the function, which isn't provided. However, if there is a negative correlation, four points would seem low after playing for eight hours.
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There is a positive relationship between the number of points scored on the quiz and the number of hours spent playing video games.
- If playing more video games leads to a higher score, this statement would be true. However, typically we expect a negative relationship if excessive gaming typically impacts performance adversely.
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The point (10,5) shows that the student earned 10 points on the quiz after playing video games for five hours.
- Assuming the first coordinate represents quiz score and the second coordinate represents hours, this indicates a score of 10 points after 5 hours. If the quiz is out of 10 points, this is impossible.
From this analysis, the first statement appears the most plausible given a typical context where playing more video games negatively affects quiz scores.
Therefore, the correct answer is: The student’s quiz score goes down by one point for every two hours she spent on video games.