Answer:
Option D -
![(1)/(4)=(x)/(300)](https://img.qammunity.org/2020/formulas/mathematics/high-school/3up5vx5s0p2r2x22fx7gf235ji4m05zfny.png)
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,
![(1)/(4)=(x)/(300)](https://img.qammunity.org/2020/formulas/mathematics/high-school/3up5vx5s0p2r2x22fx7gf235ji4m05zfny.png)
When we solve the proportion,
![x=(300)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/by36o8i4zihxyisox5hrxmrbk8ip2mpfkq.png)
![x=75](https://img.qammunity.org/2020/formulas/mathematics/high-school/aml1nscsj0lqxbmc6md4az6qhk84jjumwa.png)
Therefore, Option D is correct.