Inequalities in Elevator Weight Limits
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Questions and Answers

What does the variable x represent in the given context?

  • The weight of large boxes
  • The number of large boxes (correct)
  • The weight of small boxes
  • The number of small boxes
  • What is the total weight limit on the elevator when including the delivery person?

  • 2000 pounds (correct)
  • 2500 pounds
  • 1800 pounds
  • 2200 pounds
  • Which of the following inequalities accurately represents the total weight of the boxes and the delivery person?

  • 2x + 3y + 200 ≤ 2000 (correct)
  • 2x + 3y + 200 < 2000
  • 2x + 3y + 200 = 2000
  • 2x + 3y + 200 ≥ 2000
  • If one large box weighs 75 pounds and one small box weighs 50 pounds, how much do two large and three small boxes weigh?

    <p>270 pounds</p> Signup and view all the answers

    If the number of large boxes is represented by x and the number of small boxes is represented by y, which equation incorporates the given weights?

    <p>2x + 3y = 270</p> Signup and view all the answers

    Study Notes

    Elevator Weight Limit

    • Two large boxes and three small boxes weigh 270 pounds
    • One large box and four small boxes weigh 235 pounds
    • The elevator weight limit is 2000 pounds
    • A 200-pound delivery person is also on the elevator

    Inequality

    • The inequality represents the number of large (x) and small (y) boxes a 200-pound person can take on the elevator.
    • This is found by adding the weight of the boxes and the weight of the person to the total weight limit. The sum of the weights of the boxes and the person cannot exceed the total weight limit.
    • The inequality is: 270x + 235y + 200 ≤ 2000

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    Description

    This quiz explores the concept of inequalities through a real-world scenario involving weight limits in an elevator. It examines how to establish an inequality that helps determine the maximum number of large and small boxes a delivery person can transport. Test your understanding of these mathematical principles and their applications!

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