Question

Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equipment will cost $1200.

Henry orders 600 shirts and determines that the profit for his new business is modeled by the function P = 22x - 1200. What is the domain of this function in this context?
A) all real numbers
B) {0 ≤ x ≤ 600}
C) {0 ≥ x ≥ 600}
D) {-1,200 ≤ P ≤ 2,000}

Answer 1

The domain of the function is B) {0 ≤ x ≤ 600}

Explanation:

Consider the provided information.

Henry orders 600 shirts and determines that the profit for his new business is modeled by the function P = 22x - 1200.

We need to determine the domain of the function.

The domain is the set of input values which a function can take, or the domain is the set of all possible x values.

Henry can minimum order 0 shirts and maximum he can ordered 600 shirts.

Therefore, the domain of the function is B) {0 ≤ x ≤ 600}

Answer 2

If Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt, then the domain of this function in this context is {0 ≤ x ≤ 600}. The correct answer to the following given statement above is letter B.