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 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.

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

1 answer

Based on the descriptions provided, the correct interpretation would depend on the specific characteristics of the line graph. However, I can help you analyze the options based on common relationships that might be depicted in such graphs.

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

    • Without the graph, we cannot confirm this statement since it asserts a specific score that corresponds to eight hours played.
  2. There is a positive relationship between the number of points scored on the quiz and the number of hours spent playing video games.

    • This statement would be true if the graph shows an upward slope, indicating that as hours spent playing video games increases, the points scored also increase.
  3. The point (10,5) shows that the student earned 10 points on the quiz after playing video games for five hours.

    • This statement would be accurate if (10,5) is indeed a point on the graph, representing that the x-axis (hours played) corresponds with the y-axis (points scored). However, from the coordinates given, it doesn't make sense as typically the x-axis represents hours (0-14) and the y-axis represents points (0-14).
  4. The student’s quiz score goes down by one point for every two hours she spent on video games.

    • If the graph has a downward slope, this statement could be true, indicating that there is a negative relationship.

To determine which statement is correct, one would typically look at the graph for the relationship depicted (increasing, decreasing, specific coordinate validation). Based solely on the provided options without visual confirmation, we can't conclusively identify the correct answer.

If you can provide specific details from the graph itself (e.g., coordinates, slope), it would be easier to identify which statement is accurate. Alternatively, knowing whether the graph shows a positive or negative correlation would also help to confirm or deny the statements.