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}

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

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lidaralbany lidaralbany · Answer 2 · 2019-10-23T04:22:23+02:00

Answer:

Option: B is the correct answer.

B) {0 ≤ x ≤ 600}

Step-by-step explanation:

We are given a profit function in terms of x where x is the number of shirts ordered as follows:

[tex]P=22x-1200[/tex]

Now, we know that the domain of a function are the possible values of the independent variable for which a function is defined i.e. the possible values of x for which P is defined.

x has to be greater than equal to 0.

i.e. either none of the t-shirts are ordered or some.

and x has to be less than or equal to 600.

Hence, the domain is:

0 ≤ x ≤ 600