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A furniture company is shipping cargo overseas on a container ship. A shorter container can hold 44,30044,300 pounds and a longer container can hold 61,80061,800 pounds. Together, all the containers must hold at least 785,000785,000 pounds, the weight of the cargo.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of shorter containers\newliney=y = the number of longer containers\newlineChoices:\newline(A) 44,300x + 61,800y > 785,000\newline(B) 44,300 + x + 61,800 + y > 785,000\newline(C) 44,300x+61,800y785,00044,300x + 61,800y \geq 785,000\newline(D) 44,300+x+61,800+y785,00044,300 + x + 61,800 + y \geq 785,000

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Q. A furniture company is shipping cargo overseas on a container ship. A shorter container can hold 44,30044,300 pounds and a longer container can hold 61,80061,800 pounds. Together, all the containers must hold at least 785,000785,000 pounds, the weight of the cargo.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of shorter containers\newliney=y = the number of longer containers\newlineChoices:\newline(A) 44,300x+61,800y>785,00044,300x + 61,800y > 785,000\newline(B) 44,300+x+61,800+y>785,00044,300 + x + 61,800 + y > 785,000\newline(C) 44,300x+61,800y785,00044,300x + 61,800y \geq 785,000\newline(D) 44,300+x+61,800+y785,00044,300 + x + 61,800 + y \geq 785,000
  1. Shorter container weight: Shorter container weight: 44,30044,300 pounds\newlineNumber of shorter containers: xx\newlineTotal weight of shorter containers: 44,300×x=44,300x44,300 \times x = 44,300x
  2. Number of shorter containers: Longer container weight: 61,80061,800 pounds\newlineNumber of longer containers: yy\newlineTotal weight of longer containers: 61,800×y=61,800y61,800 \times y = 61,800y
  3. Total weight of shorter containers: Total weight required: at least 785,000785,000 pounds\newlineTotal weight of all containers: 44,300x+61,800y44,300x + 61,800y\newlineInequality representing the situation: 44,300x+61,800y785,00044,300x + 61,800y \geq 785,000

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