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

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.

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.

Answer 1

Based on the description of the graph, let's evaluate the statements provided:

1. 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 correct if the graph shows an upward trend, indicating that as the hours increase, the quiz scores also increase. If this is indeed observed in the graph, then this statement is true.

2. The student’s quiz score goes down by one point for every two hours she spent on video games.
   This statement suggests a negative relationship. If the graph shows that scores decrease with increased hours spent playing games, then this statement would be true—but if the scores are increasing or remaining stable with hours, this statement is false.

3. The student will earn four points on the quiz if she plays eight hours of video games.
   This statement refers directly to the graph. If the graph indicates that at 8 hours the student scores 4 points, then this statement is true. If it shows a different point, this statement would be false.

4. The point (10, 5) shows that the student earned 10 points on the quiz after playing video games for five hours.
   This is an interpretation of a point on the graph. However, the x-coordinate represents hours spent, and the y-coordinate represents points scored. So, the point (10, 5) means that the student earned 5 points after 10 hours of playing video games, not the other way around. Therefore, this statement is false.

To conclude:

• If the graph indeed shows an increasing trend, the first statement would be correct.
• If the second statement states a decrease where there is none, it would be false.
• The truth of the third statement depends on the specific score at eight hours on the graph.
• The fourth statement is incorrect based on the definition of the coordinates.

You should select the statement that accurately describes the relationship based on the graph. If you are seeing a relationship based on points presented, choose that one.