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A tour director is hiring boats to transport a group of tourists across a river. He must make sure there is room for at least 2727 passengers, the number of tourists in the group. A dinghy can seat 66 passengers and a flatboat can seat 11 passenger.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of dinghies\newliney=y = the number of flatboats\newlineChoices:\newline(A) 6x+y276x + y \geq 27\newline(B) x+6y27x + 6y \geq 27\newline(C) 6x+y276x + y \leq 27\newline(D) x+6y27x + 6y \leq 27

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Q. A tour director is hiring boats to transport a group of tourists across a river. He must make sure there is room for at least 2727 passengers, the number of tourists in the group. A dinghy can seat 66 passengers and a flatboat can seat 11 passenger.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of dinghies\newliney=y = the number of flatboats\newlineChoices:\newline(A) 6x+y276x + y \geq 27\newline(B) x+6y27x + 6y \geq 27\newline(C) 6x+y276x + y \leq 27\newline(D) x+6y27x + 6y \leq 27
  1. Calculate dinghy capacity: Each dinghy seats 66 passengers, so the total number of passengers that can be seated in xx dinghies is 6x6x.
  2. Calculate flatboat capacity: Each flatboat seats 11 passenger, so the total number of passengers that can be seated in yy flatboats is yy.
  3. Calculate total passenger capacity: The total number of passengers that can be seated in both dinghies and flatboats is 6x+y6x + y.
  4. Set up inequality: The tour director needs to seat at least 2727 passengers, so the inequality must show that the number of passengers seated by dinghies and flatboats is greater than or equal to 2727.
  5. Formulate correct inequality: The correct inequality is 6x+y276x + y \geq 27.

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