Solve the problem:

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. [tex]145 + 40n \leq 1600[/tex]
B. [tex]145 + 40n \geq 1600[/tex]
C. [tex]1600 - 145 \leq 40n[/tex]
D. [tex]1600 + 145 \geq 40n[/tex]

Please select the best answer from the choices provided:
A
B
C
D

Let [tex]$n$[/tex] represent the number of boxes. The total weight in the elevator is the sum of your weight and the weight of the boxes. Your weight is [tex]$145$[/tex] pounds and each box weighs [tex]$40$[/tex] pounds, so the total weight is given by

[tex]$$145 + 40n.$$[/tex]

Because the maximum capacity of the elevator is [tex]$1600$[/tex] pounds, the total weight must satisfy the inequality

[tex]$$145 + 40n \leq 1600.$$[/tex]

This inequality represents the condition that the combined weight of you and the boxes does not exceed the maximum capacity of the elevator.

Thus, the correct answer is:

C. [tex]$145 + 40n \leq 1600$[/tex]