Answer:
The submarine is 1100 feet below the sea level that is at -1100 feet.
Step-by-step explanation:
We are given the following in the question:
A submarine was 200 feet below sea level.
Since the submarine was below the sea level we can write the position as -200 feet with respect to sea level.
It rose to the surface and then dove again to four times its initial depth.
![-200 + 200 + 4(-200)\text{ feet}](https://tex.z-dn.net/?f=-200%20%2B%20200%20%2B%204%28-200%29%5Ctext%7B%20feet%7D)
The submarine then descended another 300 feet.
Total movement in submarine =
![(-200 + 200 + 4(-200) - 300)\text{ feet}](https://tex.z-dn.net/?f=%28-200%20%2B%20200%20%2B%204%28-200%29%20-%20300%29%5Ctext%7B%20feet%7D)
1. Model for the given situation:
![-200 + 200 + 4(-200)\text{ feet}](https://tex.z-dn.net/?f=-200%20%2B%20200%20%2B%204%28-200%29%5Ctext%7B%20feet%7D)
2. Evaluate the expression
![-200 + 200 + 4(-200) + (-300) = -1100\text{ feet}](https://tex.z-dn.net/?f=-200%20%2B%20200%20%2B%204%28-200%29%20%2B%20%28-300%29%20%3D%20-1100%5Ctext%7B%20feet%7D)
Thus, the submarine is 1100 feet below the sea level that is at -1100 feet.