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A furniture company is shipping cargo overseas on a container ship. A shorter container can hold 46,70046,700 pounds and a longer container can hold 63,60063,600 pounds. Together, all the containers must hold at least 796,000796,000 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) 46,700x + 63,600y > 796,000\newline(B) 63,600x+46,700y≥796,00063,600x + 46,700y \geq 796,000\newline(C) 63,600x + 46,700y > 796,000\newline(D) 46,700x+63,600y≥796,00046,700x + 63,600y \geq 796,000

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Q. A furniture company is shipping cargo overseas on a container ship. A shorter container can hold 46,70046,700 pounds and a longer container can hold 63,60063,600 pounds. Together, all the containers must hold at least 796,000796,000 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) 46,700x+63,600y>796,00046,700x + 63,600y > 796,000\newline(B) 63,600x+46,700y≥796,00063,600x + 46,700y \geq 796,000\newline(C) 63,600x+46,700y>796,00063,600x + 46,700y > 796,000\newline(D) 46,700x+63,600y≥796,00046,700x + 63,600y \geq 796,000
  1. Determine Weight Capacity: Determine the weight capacity of each type of container and the total weight requirement.\newlineShorter container capacity: 46,70046,700 pounds\newlineLonger container capacity: 63,60063,600 pounds\newlineTotal weight requirement: at least 796,000796,000 pounds
  2. Define Variables: Define the variables for the number of each type of container. \newlinexx = the number of shorter containers\newlineyy = the number of longer containers
  3. Write Total Weight Expression: Write an expression for the total weight of the cargo held by the containers.\newlineTotal weight of cargo in shorter containers: 46,700x46,700x\newlineTotal weight of cargo in longer containers: 63,600y63,600y\newlineTotal weight of cargo: 46,700x+63,600y46,700x + 63,600y
  4. Formulate Inequality: Formulate the inequality that represents the situation.\newlineThe total weight of the cargo must be at least 796,000796,000 pounds, so the inequality will be:\newline46,700x+63,600y≥796,00046,700x + 63,600y \geq 796,000

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