A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26 seconds. The
maximum height of the bottle is 15 m and the minimum is 9. A sine function can model the movement of the message in a bottle in relation
the height.

Part A: Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time, t. (3
points)

Part B: Assuming that at t=0 the message in a bottle is at its average height and moves upwards after, what is the equation of the function
that could represent the situation? (3 points)

Part C: Based on the graph of the function, after how many seconds will it reach its lowest height? (3 points)