Answer with explanation:
It is given that:
At an ocean depth of 8 meters, a buoy bobs up and then down 5 meters from the ocean's depth.
Sixteen seconds pass from the time the buoy is at its highest point to when it is at its lowest point.
Assume at x = 0 the buoy is at normal ocean depth.
this means that when x=0 the value on the y-axis is -8.
Also, the buoy bobs up 5 meters up so the maximum height reached by him is -3.
( Since -8+5=-3)
So, the sine function that will represent this situation is:
![f(x)=5\sin((\pi x)/(32))-8](https://img.qammunity.org/2020/formulas/mathematics/high-school/hyiam8jwf1gvx83f41cuz1omlc98vb0j2z.png)
Now, the graph of this situation is attached to the answer and the mid-line and the first and the second points on it are labelled.