Answer :
To solve this problem, we need to figure out how many boxes you can put in the elevator without exceeding the maximum weight limit of 1600 pounds. Let's break it down into steps:
1. Understand the Requirements:
- The maximum weight limit of the elevator is 1600 pounds.
- You, as a person, weigh 145 pounds.
- Each box you want to put in the elevator weighs 40 pounds.
2. Formulate the Inequality:
- The total weight in the elevator will be the sum of your weight and the weight of all the boxes.
- Let [tex]\( n \)[/tex] be the number of boxes.
- The weight of [tex]\( n \)[/tex] boxes is [tex]\( 40n \)[/tex] pounds.
3. Set up the inequality:
- Your weight plus the total weight of the boxes must be less than or equal to the elevator's maximum weight:
[tex]\[
145 + 40n \leq 1600
\][/tex]
4. Choose the Correct Option:
- This inequality matches option C in the given choices: [tex]\( 145 + 40n \leq 1600 \)[/tex].
This inequality will help you determine the maximum number of boxes you can safely take in the elevator along with your own weight. Thus, the best choice is C.
1. Understand the Requirements:
- The maximum weight limit of the elevator is 1600 pounds.
- You, as a person, weigh 145 pounds.
- Each box you want to put in the elevator weighs 40 pounds.
2. Formulate the Inequality:
- The total weight in the elevator will be the sum of your weight and the weight of all the boxes.
- Let [tex]\( n \)[/tex] be the number of boxes.
- The weight of [tex]\( n \)[/tex] boxes is [tex]\( 40n \)[/tex] pounds.
3. Set up the inequality:
- Your weight plus the total weight of the boxes must be less than or equal to the elevator's maximum weight:
[tex]\[
145 + 40n \leq 1600
\][/tex]
4. Choose the Correct Option:
- This inequality matches option C in the given choices: [tex]\( 145 + 40n \leq 1600 \)[/tex].
This inequality will help you determine the maximum number of boxes you can safely take in the elevator along with your own weight. Thus, the best choice is C.
