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

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

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

Answer 1

Let's analyze the statements based on the function that models the quiz score as a function of hours spent playing video games:

1. **The point (10, 5) shows that the student earned 10 points on the quiz after playing video games for five hours.** - If (10, 5) represents (points scored, hours spent), this statement is **correct**. It describes the point accurately.

2. **The student will earn four points on the quiz if she plays eight hours of video games.** - Without the specific function or data, we cannot determine if this statement is correct. We would need more information about the relationship between hours spent and quiz score.

3. **The student’s quiz score goes down by one point for every two hours she spent on video games.** - Without the specific function or data, we cannot determine if this statement is correct. We would need more information.

4. **There is a positive relationship between the number of points scored on the quiz and the number of hours spent playing video games.** - Based on common understanding, playing video games is often associated with lower quiz scores, suggesting a negative relationship. This statement is most likely **not correct**.

Given these interpretations, the first statement is the only clearly correct one based on the standard interpretation of a point in a function. The other statements need the specific function to verify their correctness.