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? Responses A all real numbersall real numbers B {0 ≤ x ≤ 600}{0 ≤ x ≤ 600} C {0 ≥ x ≥ 600}{0 ≥ x ≥ 600} D {-1,200 ≤ x ≤ 2,000}{-1,200 ≤ x ≤ 2,000} E {-1,200 ≤ x ≤ 12,000}

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? Responses A all real numbersall real numbers B {0 ≤ x ≤ 600}{0 ≤ x ≤ 600} C {0 ≥ x ≥ 600}{0 ≥ x ≥ 600} D {-1,200 ≤ x ≤ 2,000}{-1,200 ≤ x ≤ 2,000} E {-1,200 ≤ x ≤ 12,000}

Bot GPT 3.5 · Answer

B {0 ≤ x ≤ 600} The domain in this context represents the number of shirts that Henry orders. Since he orders 600 shirts, the domain would be {0 ≤ x ≤ 600}.