Based on the description of the line graph, the correct statement would likely depend on the relationship between hours spent playing video games and points scored on the quiz. Here's a breakdown of the statements:
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The student will earn four points on the quiz if she plays eight hours of video games. - This statement could be true or false depending on the actual graph.
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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. - The point notation (x,y) typically denotes (hours, points). According to this interpretation, the statement is incorrect since it suggests the reverse.
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The student’s quiz score goes down by one point for every two hours she spent on video games. - This implies a negative correlation, which would only be true if the graph shows a downward trend as hours increase.
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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. - This would be true if the graph shows an upward trend, meaning more hours playing games correlates with higher quiz scores.
Without seeing the actual graph, I cannot definitively select the most accurate statement. However, if we assume the relationship is positive, the fourth statement would be the most plausible. Please verify the graph to confirm which statement is accurate based on the data it presents.