Steven is starting a baseball hat printing business and plans on selling each hat for $20 with his cost being $8 per hat. The equipment will cost $800. Steven orders 500 hats and determines that the profit for his new business is modeled by the function P = 12x-800. Which of the following is the domain of this function in this situation? A). x ≥ 20 B). all real numbers C). {0 ≤ x ≤ 500} D). {0 ≥ x ≥ 500}

Question

Mathematics

Sincere Randolph

9 June, 13:47

Steven is starting a baseball hat printing business and plans on selling each hat for $20 with his cost being $8 per hat. The equipment will cost $800. Steven orders 500 hats and determines that the profit for his new business is modeled by the function P = 12x-800. Which of the following is the domain of this function in this situation? A). x ≥ 20 B). all real numbers C). {0 ≤ x ≤ 500} D). {0 ≥ x ≥ 500}

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Answers (1)

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Winston Koch · Answer 1

Since Steven ordered 500 hats, he cannot sell more than 500 hats, therefore, the domain of the profit function is {0 ≤ x ≤ 500}

Option D is the correct answer.