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 number

B. {0 ≤ x ≤ 600}

C. {0 ≥ x ≥ 600}

D. {-1,200 ≤ x ≤ 2,000}

E. {-1,200 ≤ x ≤ 12,000}

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

B. {0 ≤ x ≤ 600}

The domain represents the possible values of x in the context of t-shirt printing business. In this case, the number of shirts ordered cannot be negative and cannot exceed 600 (since Henry ordered 600 shirts). Therefore, the domain is {0 ≤ x ≤ 600}.