Question

Question

Use the image to answer the question.

A line graph between hours spend playing video games and points scored on quiz. X-axis represents hours spend playing video game ranging from 0 to 14 in increments of 2 and y-axis as points scored in quiz ranging from 0 to 14 in increments of 2.

This function models the number of points a student scores on a 10-point quiz as a function of the hours she spent playing video games the night before. Which of the following statements is correct?

(1 point)
Responses

The point (10,5)
shows that the student earned 10 points on the quiz after playing video games for five hours.
The point left parenthesis 10 comma 5 right parenthesis shows that the student earned 10 points on the quiz after playing video games for five hours.

The student will earn four points on the quiz if she plays eight hours of video games.
The student will earn four points on the quiz if she plays eight hours of video games.

The student’s quiz score goes down by one point for every two hours she spent on video games.
The student’s quiz score goes down by one point for every two hours she spent on video games.

There is a positive relationship between the number of points scored on the quiz and the number of hours spent playing video games.
There is a positive relationship between the number of points scored on the quiz and the number of hours spent playing video games.
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Answer 1

Based on the information provided about the line graph, we need to analyze the statements given in order to determine which one is correct.

1. The point (10,5) shows that the student earned 10 points on the quiz after playing video games for five hours.
   This statement is incorrect. The point (10,5) implies that when the student played video games for 10 hours, she earned 5 points on the quiz.

2. The student will earn four points on the quiz if she plays eight hours of video games.
   We need to look at where 8 hours falls on the graph to verify this statement. If the graph indicates that the score corresponds to 4 points for 8 hours, then this statement would be true. Otherwise, it could be false.

3. The student’s quiz score goes down by one point for every two hours she spent on video games.
   If the graph shows a downward slope, indicating that the quiz score decreases as hours played increases, this statement could be true. We would need to check the graph's behavior.

4. There is a positive relationship between the number of points scored on the quiz and the number of hours spent playing video games.
   If the graph indicates that as hours played increases, the points scored also increases, then this statement would be true.

Given the likely behavior suggested by the context—a negative relationship between video game hours and quiz scores—options 3 or 4 seem more plausible. If the quiz score declines with additional hours spent playing video games, it is likely that the correct statement is related to the negative impact of video games.

Based on the logical deductions and the nature of the scenario described, the most accurately correct statement is likely "The student’s quiz score goes down by one point for every two hours she spent on video games." However, the precise answer would be validated by examining the actual data points on the graph. If the graph indeed shows this trend, this would support the statement's accuracy.