Final answer:
The domain for the profit equation is the set of whole numbers, including zero and any positive integer, reflecting the realistic situation that a company can only sell whole numbers of T-shirts.
Therefore, the correct answer is: option B). Whole numbers
Step-by-step explanation:
The domain of a function refers to the set of all possible input values that the function can accept.
For the profit equation p = 15x - 615.25, where p represents the profit or loss in dollars and x represents the number of T-shirts sold, we consider the realistic context of the situation.
Since a company cannot sell a negative number of T-shirts, the domain would consist of non-negative numbers.
However, because one cannot sell a fraction of a T-shirt, we also exclude non-whole numbers, which leaves us with whole numbers starting from zero.
Therefore, the correct choice for the domain is Option B: Whole numbers, which includes zero (the scenario where no T-shirts are sold) and any positive integer number of T-shirts that the company can sell.