Question

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 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 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 more context regarding the function that models the number of points a student scores on the quiz as a function of the hours spent playing video games. However, we can analyze the statements given the general implications they suggest:

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 suggests that more hours playing video games leads to higher quiz scores, which may not typically be the case. Usually, we might expect the opposite if playing video games detracts from study time.

2. **The student’s quiz score goes down by one point for every two hours she spent on video games.**
- This indicates a negative correlation; for every two hours of video games, the score decreases by one point. This could indicate the function is downward sloping with respect to hours spent playing video games.

3. **The point (10,5) shows that the student earned 10 points on the quiz after playing video games for five hours.**
- This is value-based interpretation; if the notation is correct according to the function, then it could be true. However, without the proper context regarding whether it's a point on the curve or not, we cannot confirm its validity.

4. **The student will earn four points on the quiz if she plays eight hours of video games.**
- This is conditional on the actual function defined; if we do not know the function, we cannot confirm if this is true or false.

Given universal principles of studying vs. playing video games and the implications of quiz performance generally assumed in educational contexts, it’s intuitive to lean towards a statement like the second, given that it references a concrete decrement based on time spent playing video games, which often detracts from academic performance.

Thus, without the actual function and relying just on the context provided here:

**The correct statement would be: The student’s quiz score goes down by one point for every two hours she spent on video games.**