Representing Functions Quick Check

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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’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.

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.
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Answer 1

To analyze the situation described in the graph and determine which statement is correct, let's evaluate each option based on the information given:

1. 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 trend (decreasing scores with increasing hours), this statement could be true.

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

   • This can only be true if the graph indicates that at 8 hours, the quiz score is indeed 4 points.

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

   • A positive relationship would indicate that as hours playing video games increase, so do the points scored on the quiz. If the graph shows a downward trend, 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 seems to contradict the standard interpretation of coordinate pairs, which typically indicates the x-coordinate (hours played) first and the y-coordinate (points scored) second. Thus, (10, 5) would indicate 10 hours played and 5 points scored.

Based on the context of the graph and the established behavior of scores in relation to hours played, the most likely correct statement would be based on whether the relationship of points scored decreases as hours increase, which seems logical considering the context of the situation.

However, without the actual visual context of the graph, a definitive answer can't be pinpointed. If the quiz scores consistently decrease as gaming hours increase, the first statement would be the correct choice.

If you have access to the graph, check it to see which statement aligns best with the data depicted.