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Mr. Carlson is organizing a field trip and is trying to figure out which vehicles to rent. He will need to transport at least 7474 people, since that is the number of people going on the trip. A van can seat 77 people and a bus can seat 2020 people.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of vans rented\newliney=y = the number of buses rented\newlineChoices:\newline(A) 7x + 20y > 74\newline(B) 20x+7y≥7420x + 7y \geq 74\newline(C) 20x + 7y > 74\newline(D) 7x+20y≥747x + 20y \geq 74

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Q. Mr. Carlson is organizing a field trip and is trying to figure out which vehicles to rent. He will need to transport at least 7474 people, since that is the number of people going on the trip. A van can seat 77 people and a bus can seat 2020 people.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of vans rented\newliney=y = the number of buses rented\newlineChoices:\newline(A) 7x+20y>747x + 20y > 74\newline(B) 20x+7y≥7420x + 7y \geq 74\newline(C) 20x+7y>7420x + 7y > 74\newline(D) 7x+20y≥747x + 20y \geq 74
  1. Determine minimum number of vehicles: We need to determine the minimum number of vehicles required to transport at least 7474 people. The number of vans rented is represented by xx, and each van can seat 77 people. Therefore, the total number of people that can be seated in vans is 77 times the number of vans, which is 7x7x.
  2. Calculate seating capacity: Similarly, the number of buses rented is represented by yy, and each bus can seat 2020 people. Therefore, the total number of people that can be seated in buses is 2020 times the number of buses, which is 20y20y.
  3. Formulate inequality: To transport at least 7474 people, the sum of the people seated in vans and buses must be greater than or equal to 7474. This gives us the inequality 7x+20y≥747x + 20y \geq 74.
  4. Compare with choices: We now compare the inequality we have found with the given choices to determine which one matches our inequality.
  5. Identify correct inequality: The correct inequality that matches our calculation is (D)7x+20y≥74(D)7x + 20y \geq 74, which states that the total number of people transported by xx vans and yy buses must be at least 7474.

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