Question

The basketball team is selling t-shirts. They only have 250 shirts available to see.

The profit for the t-shirts sold can be represented by the function P(s) = 15s -
200, where s represents the number of t-shirts sold.
What is the domain of the function?

Answer 1

The domain of the profit function P(s) = 15s - 200, representing the number of t-shirts sold, is 0 ≤ s ≤ 250, where s is a whole number.

Step-by-step explanation:

The domain of a function is the set of all possible values that the independent variable of the function can have. For the profit function P(s) = 15s - 200, where s is the number of t-shirts sold, the domain is the possible numbers of t-shirts that can be sold by the basketball team. Since the team has only 250 shirts available and cannot sell less than 0 shirts, the domain would be all whole numbers from 0 to 250 inclusively. Therefore, we can mathematically represent the domain as s , where ℕ represents the set of natural numbers including zero.