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Answer :
To solve this problem, let's break down the situation:
1. Total Weight Limit: The elevator can hold a maximum weight of 1600 pounds.
2. Your Weight: You weigh 145 pounds.
3. Weight of Each Box: Each box weighs 40 pounds.
Now, let's construct an inequality to determine how many boxes you can take with you:
- First, account for your own weight. Since you weigh 145 pounds, we start with that:
[tex]\[
\text{Total weight in the elevator} = 145 + \text{(weight of boxes)}
\][/tex]
- Let's say [tex]\( n \)[/tex] is the number of boxes. Since each box is 40 pounds, the total weight of the boxes is [tex]\( 40n \)[/tex]:
[tex]\[
\text{Weight of boxes} = 40n
\][/tex]
- The total weight (your weight plus the weight of the boxes) must be less than or equal to the maximum weight capacity of the elevator (1600 pounds):
[tex]\[
145 + 40n \leq 1600
\][/tex]
This inequality [tex]\( 145 + 40n \leq 1600 \)[/tex] can be used to determine the maximum number of boxes you can place in the elevator at one time along with yourself.
Thus, the correct answer from the choices provided is:
- C. [tex]\( 145 + 40n \leq 1600 \)[/tex]
This inequality correctly represents the situation described.
1. Total Weight Limit: The elevator can hold a maximum weight of 1600 pounds.
2. Your Weight: You weigh 145 pounds.
3. Weight of Each Box: Each box weighs 40 pounds.
Now, let's construct an inequality to determine how many boxes you can take with you:
- First, account for your own weight. Since you weigh 145 pounds, we start with that:
[tex]\[
\text{Total weight in the elevator} = 145 + \text{(weight of boxes)}
\][/tex]
- Let's say [tex]\( n \)[/tex] is the number of boxes. Since each box is 40 pounds, the total weight of the boxes is [tex]\( 40n \)[/tex]:
[tex]\[
\text{Weight of boxes} = 40n
\][/tex]
- The total weight (your weight plus the weight of the boxes) must be less than or equal to the maximum weight capacity of the elevator (1600 pounds):
[tex]\[
145 + 40n \leq 1600
\][/tex]
This inequality [tex]\( 145 + 40n \leq 1600 \)[/tex] can be used to determine the maximum number of boxes you can place in the elevator at one time along with yourself.
Thus, the correct answer from the choices provided is:
- C. [tex]\( 145 + 40n \leq 1600 \)[/tex]
This inequality correctly represents the situation described.
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