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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 3232 passengers, the number of tourists in the group. A dinghy can seat 55 passengers and a flatboat can seat 22 passengers. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. \newlinex x = number of dinghies \newliney y = number of flatboats

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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 3232 passengers, the number of tourists in the group. A dinghy can seat 55 passengers and a flatboat can seat 22 passengers. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. \newlinex x = number of dinghies \newliney y = number of flatboats
  1. Calculate Dinghies Capacity: Dinghies can seat 55 passengers each, so the total number of passengers seated in dinghies is 5x5x.
  2. Calculate Flatboats Capacity: Flatboats can seat 22 passengers each, so the total number of passengers seated in flatboats is 2y2y.
  3. Find Total Passenger Capacity: To find the total number of passengers that can be seated, we add the passengers from dinghies and flatboats: 5x+2y5x + 2y.
  4. Set Passenger Capacity Inequality: The tour director needs to ensure there is room for at least 3232 passengers, so the inequality is 5x+2y325x + 2y \geq 32.

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