Question

The following equation is used to calculate the profit (or loss), p, in dollars when a company sells x number of T-shirts.

p=15x−615.25
What is the domain?

A. Integers
B. Whole numbers
C. Positive Integers
D. Positive real numbers

Answer 1

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.