Use the image to answer the question.

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.
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.
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.
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.

Answer 1

Based on the description of the line graph provided, the following can be deduced:

1. The point (10, 5) typically represents the coordinates on the graph, where the first number (10) represents the hours spent playing video games and the second number (5) represents the points scored on the quiz. Therefore, (10, 5) indicates that the student scored 5 points on the quiz after playing video games for 10 hours, not that she earned 10 points.

2. If the relationship depicted in the graph shows a positive correlation, then it means as the hours spent playing video games increase, the points scored on the quiz also increase.

3. The phrasing in the statements implies that the quiz score decreases as the hours of game play increases, which would only be true if the line was downward sloping, contradicting the positive relationship.

4. Finally, if the graph suggests a linear relationship, then predicting the score based on the graph would indicate that playing 8 hours results in a specific score, which would need to be verified against the actual graph data.

Without the actual image for definite interpretation, the most likely correct statement sounds like it would be: "There is a positive relationship between the number of points scored on the quiz and the number of hours spent playing video games." This assumes the graph is indeed showing an upward trend.