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 point (10,5)
(
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 will earn four points on the quiz if she plays eight hours of video games.
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 point (10,5)
(
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 will earn four points on the quiz if she plays eight hours of video games.
Answers
Answered by
GPT-4o mini
To determine which of the statements is correct, we can analyze them one by one 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.**
This statement would imply a negative correlation between hours spent playing video games and quiz scores. Without seeing the actual data or the line graph, we cannot confirm this statement's validity.
2. **The point (10, 5) shows that the student earned 10 points on the quiz after playing video games for five hours.**
If we interpret this statement, it suggests that the student scored 10 points after playing for 5 hours. Typically, in a line graph where x is hours and y is quiz scores, (10,5) would indicate a score of 5 points after 10 hours, not 10 points after 5 hours. Therefore, this statement is incorrect.
3. **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 suggests that more hours spent gaming leads to higher quiz scores. Without seeing the graph, one cannot conclude this. However, if we take the first statement into consideration (assuming it was accurately summarizing the negative correlation), it indicates the opposite relationship.
4. **The student will earn four points on the quiz if she plays eight hours of video games.**
This statement would depend on the specifics of the graph, particularly at the point where x = 8. If the relationship shown was indeed negative, it's likely that she would score lower than expected with increased gaming.
Based on the analysis and common assumptions concerning such situations, statement 1 seems plausible if the graph indeed shows a negative slope. If that's the case, the remaining statements are either incorrect or ambiguous.
Thus, if we had to choose the most likely correct statement, despite the potential linguistic error in option 1's duplication, it would be: **The student’s quiz score goes down by one point for every two hours she spent on video games.**
1. **The student’s quiz score goes down by one point for every two hours she spent on video games.**
This statement would imply a negative correlation between hours spent playing video games and quiz scores. Without seeing the actual data or the line graph, we cannot confirm this statement's validity.
2. **The point (10, 5) shows that the student earned 10 points on the quiz after playing video games for five hours.**
If we interpret this statement, it suggests that the student scored 10 points after playing for 5 hours. Typically, in a line graph where x is hours and y is quiz scores, (10,5) would indicate a score of 5 points after 10 hours, not 10 points after 5 hours. Therefore, this statement is incorrect.
3. **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 suggests that more hours spent gaming leads to higher quiz scores. Without seeing the graph, one cannot conclude this. However, if we take the first statement into consideration (assuming it was accurately summarizing the negative correlation), it indicates the opposite relationship.
4. **The student will earn four points on the quiz if she plays eight hours of video games.**
This statement would depend on the specifics of the graph, particularly at the point where x = 8. If the relationship shown was indeed negative, it's likely that she would score lower than expected with increased gaming.
Based on the analysis and common assumptions concerning such situations, statement 1 seems plausible if the graph indeed shows a negative slope. If that's the case, the remaining statements are either incorrect or ambiguous.
Thus, if we had to choose the most likely correct statement, despite the potential linguistic error in option 1's duplication, it would be: **The student’s quiz score goes down by one point for every two hours she spent on video games.**
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