Elevator Weight Capacity and Inequalities

The video tutorial explains how to solve a problem involving the maximum weight capacity of an elevator. It introduces the problem, discusses the concept of maximum weight capacity, and explains how to apply an inequality to determine the possible additional weight that can be added to the elevator. The tutorial walks through the steps to solve for possible weights and concludes with the final inequality representing the solution.

What is the maximum weight capacity of the elevator?

• 3,000 lb

• 1,500 lb

• 2,000 lb

• 2,500 lb

How much do the three people on the elevator currently weigh together?

• 400 lb

• 480 lb

• 460 lb

• 420 lb

Which inequality sign is used when the weight must not exceed a certain limit?

• Greater than or equal to

• Less than

• Less than or equal to

• Greater than

Why is the 'less than or equal to' sign used in this problem?

• Because the weight can be more than 2,000 lb

• Because the weight can be less than or equal to 2,000 lb

• Because the weight can be any value

• Because the weight must be exactly 2,000 lb

What variable is used to represent the additional weight that can be added?

• X

• Y

• W

• Z

What is the combined weight of the three people already on the elevator?

• 460 lb

• 500 lb

• 520 lb

• 540 lb

What is the first step to find the possible values of W?

• Divide both sides by 460

• Multiply both sides by 460

• Subtract 460 from both sides

• Add 460 to both sides

What is the result of subtracting 460 from 2,000?

• 1,600

• 1,540

• 1,460

• 1,580

What does the inequality W ≤ 1,540 represent?

• The weight of the elevator itself

• The maximum additional weight that can be added

• The total weight on the elevator

• The weight of the three people

If the combined weight of the three people was 500 lb, what would be the new maximum additional weight?

• 1,500 lb

• 1,540 lb

• 1,460 lb

• 1,480 lb