Question

The maximum weight for an elevator is 1600 pounds. You need to move boxes, each weighing 40 pounds, and you weigh 145 pounds. Write an inequality that can be used to determine the maximum number of boxes that you can place in the elevator at one time. Assume only you and the boxes are in the elevator.

A) 1600−145≤40n
B) 145+40n≥1600
C) 145≤40n≤1600
D) 1600≥145+40n

Answer 1

The inequality that represents the maximum number of 40-pound boxes that can be placed in the elevator along with a person weighing 145 pounds is 145 + 40n ≤ 1600, where n is the number of boxes.

Step-by-step explanation:

To determine the maximum number of boxes that you can place in the elevator without exceeding the weight limit, you can set up an inequality. The total weight of you and the boxes must be less than or equal to the maximum weight allowed in the elevator. In this scenario, you weigh 145 pounds, and each box weighs 40 pounds. Let's denote the number of boxes as n. The inequality that models this situation will be as follows:

145 + 40n ≤ 1600

This inequality states that your weight (145 pounds) plus 40 pounds times n, the number of boxes, should be less than or equal to 1600 pounds. You can solve for n to find the maximum number of boxes that you can safely bring in the elevator.

Therefore, the correct answer is D) 1600 ≥ 145 + 40n.