Respuesta :
Answer:
A maximum of 16 boxes can be brought up at home.
Step-by-step explanation:
The delivery person weighs 160 lb and each box of books weigh 50 lb.
The maximum capacity of the elevator is 1000 lb.
Let the total boxes that can be brought be = b
We can define the equation in terms of inequality as:
[tex]160+50b\leq 1000[/tex]
[tex]50b\leq 1000-160[/tex]
[tex]50b\leq 840[/tex]
[tex]b\leq 16.8[/tex]
This means a maximum of 16 boxes can be brought up at home.
Building an equation for the total weight, it is found that the person can bring at most 16 boxes home.
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- The person weighs 160 lb.
- Each book weighs 50 lb.
- Thus, the weight of carrying x books is given by:
[tex]W(x) = 50x + 160[/tex]
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- The maximum load of the elevator is 1000 lb.
- Thus, the weight of the person plus the books has to be less than 1000, that is:
[tex]W(x) \leq 1000[/tex]
Solving the inequality for x, we find the maximum number of boxes.
[tex]50x + 160 \leq 1000[/tex]
[tex]50x \leq 840[/tex]
[tex]x \leq \frac{840}{50}[/tex]
[tex]x \leq 16.8[/tex]
Considering only the integer part, the person can bring at most 16 boxes home.
A similar problem is given at https://brainly.com/question/16602596
