It sounds like you have a function in mind that describes the relationship between the hours spent playing video games and the points scored on a quiz. While you haven't provided the specific function, I can help you create a hypothetical model based on a common scenario.
Let's assume the function is as follows:
\[ S(h) = 10 - k \cdot h \]
Where:
- \( S(h) \) is the score on the quiz (out of 10 points),
- \( h \) is the number of hours spent playing video games,
- \( k \) is a constant that represents the impact of each hour of gaming on quiz performance.
In this model, as the number of hours spent playing video games increases, the quiz score decreases, which might reflect a distraction effect. Here are some example values for \( k \):
- If \( k = 1 \) (meaning each hour of gaming leads to a 1-point decrease in quiz score), then:
- If a student plays for 0 hours, their score is \( S(0) = 10 \).
- If a student plays for 2 hours, their score is \( S(2) = 10 - 1 \cdot 2 = 8 \).
- If a student plays for 10 hours, their score is \( S(10) = 10 - 1 \cdot 10 = 0 \) (where 0 indicates that they likely wouldn't perform well at all).
You can adjust \( k \) based on the specific relationship you want to model. Would you like me to provide further details or explore another aspect of this topic?