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 range of this function in this context? a.) {0 ≤ x ≤ 500} b.) {0 ≥ x ≥ 500} c.) {-1,200 ≤ p ≤ 2,000} d.) {-1,200 ≤ p ≤ 12,000}

Step-by-step explanation:

{-1,200 ≤ p ≤ 12,000}

it would open into a square depending on the type of envelope i’m not sure about the second part

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true