Final answer:
The correct equation that models the number of tickets earned (T) for each game played (G) in a gaming competition is T = 3G + 5, indicating a direct relationship with a base bonus.
Step-by-step explanation:
The question posed relates to the modeling of tickets earned in a gaming competition relative to the number of games played. To find which equation models the number of tickets earned (T) for each game played (G), we can analyze the given options. The correct model would be a direct relationship where the number of tickets is a function of the games played.
Therefore, the correct equation that represents the scenario where T is the number of tickets earned and G is the number of games played would be T = 3G + 5. This equation suggests that for every game played, three tickets are earned, and there is an additional bonus of five tickets.
This question falls within the scope of probability and statistics, which is a branch of mathematics. Specifically, it involves understanding how to express probabilities and identify the correct mathematical representations of real-world scenarios.