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Professor Lowery is packing up the books in he office to move to a new location. A small box can hold 4747 books and a large box can hold 3434 books. In total, these boxes must hold at least 359359 books, which is the total number of books in the professor's office.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of small boxes\newliney=y = the number of large boxes\newlineChoices:\newline(A) 47x+34y≤35947x + 34y \leq 359\newline(B) 34x+47y≥35934x + 47y \geq 359\newline(C) 47x+34y≥35947x + 34y \geq 359\newline(D) 34x+47y≤35934x + 47y \leq 359

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Q. Professor Lowery is packing up the books in he office to move to a new location. A small box can hold 4747 books and a large box can hold 3434 books. In total, these boxes must hold at least 359359 books, which is the total number of books in the professor's office.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of small boxes\newliney=y = the number of large boxes\newlineChoices:\newline(A) 47x+34y≤35947x + 34y \leq 359\newline(B) 34x+47y≥35934x + 47y \geq 359\newline(C) 47x+34y≥35947x + 34y \geq 359\newline(D) 34x+47y≤35934x + 47y \leq 359
  1. Determine capacity of small boxes: Determine the total capacity of each type of box.\newlineAmount of books each small box can hold: 4747 books\newlineNumber of small boxes: xx\newlineTotal capacity of small boxes: 4747 books per box ×x\times x boxes = 47x47x
  2. Determine capacity of large boxes: Determine the total capacity of the large boxes.\newlineAmount of books each large box can hold: 3434 books\newlineNumber of large boxes: yy\newlineTotal capacity of large boxes: 3434 books per box ×\times yy boxes = 34y34y
  3. Form inequality: Combine the capacities to form an inequality.\newlineTotal number of books that must be packed: At least 359359 books\newlineThe sum of the capacities of the small and large boxes must be at least equal to the total number of books.\newlineInequality: 47x+34y≥35947x + 34y \geq 359
  4. Select correct inequality: Select the correct inequality from the given choices.\newlineThe correct inequality that represents the situation is (C) 47x+34y≥35947x + 34y \geq 359, which states that the total number of books in the small and large boxes must be at least 359359.

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