henry is starting a t - shirt printing business and plans on selling each shirt for $30, with his cost being…

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 ≤ x ≤ 2,000} e {-1,200 ≤ x ≤ 12,000}

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 ≤ x ≤ 2,000} e {-1,200 ≤ x ≤ 12,000}

Answer

Explanation:

Step1: Identify the variable meaning

$x$ represents the number of shirts sold.

Step2: Determine the lower - bound

The number of shirts sold cannot be negative, so $x\geq0$.

Step3: Determine the upper - bound

Henry orders 600 shirts, so the maximum number of shirts he can sell is 600, i.e., $x\leq600$.

Answer:

B. ${0\leq x\leq600}$