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Answer :
To solve this problem, we need to find an inequality that represents the maximum number of boxes that can be placed in the elevator along with you, without exceeding the elevator's weight limit of 1600 pounds.
1. Identify the known weights:
- Maximum elevator weight capacity = 1600 pounds
- Your weight = 145 pounds
- Weight of each box = 40 pounds
2. Set up the inequality:
- The total weight in the elevator consists of your weight plus the weight of the boxes.
- If we let [tex]\( n \)[/tex] represent the number of boxes, the total weight for the boxes would be [tex]\( 40n \)[/tex].
3. Combine the weights:
- You and the boxes together must not exceed 1600 pounds. So, the inequality becomes:
[tex]\[
145 + 40n \leq 1600
\][/tex]
4. Choose the right option:
- Comparing this inequality with the options given, option c. [tex]\( 145 + 40n \leq 1600 \)[/tex] is the correct choice.
This inequality shows that the sum of your weight and the total weight of the boxes must be less than or equal to the elevator's weight limit. Therefore, option c correctly represents this situation.
1. Identify the known weights:
- Maximum elevator weight capacity = 1600 pounds
- Your weight = 145 pounds
- Weight of each box = 40 pounds
2. Set up the inequality:
- The total weight in the elevator consists of your weight plus the weight of the boxes.
- If we let [tex]\( n \)[/tex] represent the number of boxes, the total weight for the boxes would be [tex]\( 40n \)[/tex].
3. Combine the weights:
- You and the boxes together must not exceed 1600 pounds. So, the inequality becomes:
[tex]\[
145 + 40n \leq 1600
\][/tex]
4. Choose the right option:
- Comparing this inequality with the options given, option c. [tex]\( 145 + 40n \leq 1600 \)[/tex] is the correct choice.
This inequality shows that the sum of your weight and the total weight of the boxes must be less than or equal to the elevator's weight limit. Therefore, option c correctly represents this situation.
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