Alice, a purchasing agent for a high-tech firm, is ordering computers for a new branch office. Laptops cost $750 apiece and desktop computers cost $410 apiece. The budget for the computers is no more than $22,000.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of laptops orderedy= the number of desktop computers orderedChoices:(A) 750x+410y≥22,000(B) 750x×410y≥22,000(C) 750x×410y≤22,000(D) 750x+410y≤22,000
Q. Alice, a purchasing agent for a high-tech firm, is ordering computers for a new branch office. Laptops cost $750 apiece and desktop computers cost $410 apiece. The budget for the computers is no more than $22,000.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of laptops orderedy= the number of desktop computers orderedChoices:(A) 750x+410y≥22,000(B) 750x×410y≥22,000(C) 750x×410y≤22,000(D) 750x+410y≤22,000
Calculate Laptop Cost: Laptops cost $750 each, so the total cost for laptops is 750 times the number of laptops x, which is 750x.
Calculate Desktop Cost: Desktop computers cost $410 each, so the total cost for desktop computers is 410 times the number of desktop computers y, which is 410y.
Set Total Budget Limit: The total budget is no more than $22,000, so the combined cost of laptops and desktop computers must be less than or equal to$22,000.
Formulate Inequality: The inequality that represents this situation is the sum of the cost of laptops and desktop computers being less than or equal to $22,000, which is 750x+410y≤22,000.
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