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 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.
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 information provided about the line graph, we can evaluate the given statements:

1. 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 line graph shows an upward trend, this statement is correct.

2. 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 based on standard coordinate notation, as (10, 5) would mean 10 hours of gaming followed by a score of 5 points, not the reverse.

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

   • This statement is incorrect if the trend is positive; it indicates a negative correlation if true.

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

   • This statement's validity depends on the specific value on the graph at the 8-hour mark in relation to points scored. If the graph shows 4 points at 8 hours, then it is correct; otherwise, it is incorrect.

From the analysis, the first statement is likely to be the most correct based on what you described about the relationship between hours spent playing video games and quiz scores. However, confirming each point on the graph is essential to determine the accuracy of the specific numerical claims.