Answer:
Option D - ![\frac{1}{4}=\frac{x}{300}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7Bx%7D%7B300%7D)
Step-by-step explanation:
Given : During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes.
To find : Which proportion could you use to find how many gifts can be wrapped at the same rate in 5 hours?
Solution :
We have given that,
In 4 minutes we wrap 1 box.
Let x be the number of gift wrap in 5 hours.
Convert 5 hours into minutes,
1 hour = 60 minute
5 hour =
minute
i.e. In 300 minute we wrap x box.
The proportion defined the same rate is given by,
![\frac{1}{4}=\frac{x}{300}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7Bx%7D%7B300%7D)
When we solve the proportion,
![x=\frac{300}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B300%7D%7B4%7D)
![x=75](https://tex.z-dn.net/?f=x%3D75)
Therefore, Option D is correct.