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 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 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.

1 answer

To determine which statement is correct, we need to analyze each of the provided options. However, please note that without the specific function or graph, we are unable to assess the relationships or determine the score based on hours played.

  1. "The student will earn four points on the quiz if she plays eight hours of video games." - Without the function, we cannot confirm if this is true.

  2. "The point (10,5) shows that the student earned 10 points on the quiz after playing video games for five hours." - This statement is consistent with the format of ordered pairs, where the first value is typically the independent variable (hours spent), and the second value is the dependent variable (quiz score).

  3. "There is a positive relationship between the number of points scored on the quiz and the number of hours spent playing video games." - We need evidence of a positive correlation from the function to affirm this statement.

  4. "The student’s quiz score goes down by one point for every two hours she spent on video games." - Again, without specific information about the function, we cannot confirm this statement.

Based on the typical interpretation of ordered pairs, the second statement appears to be accurate if we assume that (10, 5) correctly denotes that the student scored 10 points after 5 hours. If that's true:

  • The correct statement is: "The point (10,5) shows that the student earned 10 points on the quiz after playing video games for five hours."