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?

Question

(1 point)
Responses

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.
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.

Answer 1

To determine which statement is correct, we need to analyze the information provided.

1. The point (10, 5):

   • This notation describes the relationship between two variables: the first value typically represents the hours spent playing video games (5 hours), and the second value represents the score on a quiz (10 points).
   • Therefore, (10, 5) would actually imply that the student scored 5 points after playing 10 hours, not 10 points after 5 hours. This statement is not correct.

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 suggests that as the number of hours playing video games increases, the number of points scored also increases. We would need more specific data to confirm this; however, without context or values, we cannot definitively confirm or deny the correlation based on the statement alone.

3. 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 relationship where increased hours lead to decreased scores. Without specific data, we cannot confirm this statement.

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

   • Similar to the other statements, without a functional model or specific data, we cannot confirm this statement.

To determine which statement is true, we would typically need the function that models the relationship but since it's not provided, we can only assess based on what's typical in such scenarios. If we assume a linear decrease in score dependent on hours played, a possible scenario could be that increased hours might be negatively impacting the score; thus, the third statement "The student’s quiz score goes down by one point for every two hours she spent on video games" could be true.

In conclusion, without definitive data or the function, the third statement about the student's score decreasing due to hours spent playing video games seems plausible if we consider typical outcomes from the data but cannot be confirmed without specific data from the quiz's functional model.

If you have more specific information about the function or data, that would allow for clarification and verification of these statements.