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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 4545 passengers, the number of tourists in the group. A dinghy can seat 44 passengers and a flatboat can seat 22 passengers.\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) 4+x+2+y454 + x + 2 + y \geq 45\newline(B) 4x+2y454x + 2y \geq 45\newline(C) 4+x+2+y>454 + x + 2 + y > 45\newline(D) 4x+2y>454x + 2y > 45

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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 4545 passengers, the number of tourists in the group. A dinghy can seat 44 passengers and a flatboat can seat 22 passengers.\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) 4+x+2+y454 + x + 2 + y \geq 45\newline(B) 4x+2y454x + 2y \geq 45\newline(C) 4+x+2+y>454 + x + 2 + y > 45\newline(D) 4x+2y>454x + 2y > 45
  1. Dinghy Capacity: Dinghy seats: 44 passengers\newlineNumber of dinghies: xx\newlineTotal seats in dinghies: 4×x=4x4 \times x = 4x
  2. Flatboat Capacity: Flatboat seats: 22 passengers\newlineNumber of flatboats: yy\newlineTotal seats in flatboats: 2×y=2y2 \times y = 2y
  3. Total Seats Calculation: Total seats needed: At least 4545\newlineTotal seats provided by dinghies and flatboats: 4x+2y4x + 2y\newlineInequality: 4x+2y454x + 2y \geq 45

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