2. A buoy in the Atlantic Ocean sends a signal beacon to a Coast Guard station. The behavior of the
buoy can be modeled by the function h = A sin (Bt) + 6 where h is measured in feet above sea level.During a recent tropical storm, the height varies from 2 feet to 10 feet above sea level, with a 6 second interval between one 10-ft wave to the next.

a) Write an equation for the function and graph it the first 18 seconds of the buoy behavior.


b) Use the graph to predict the height of the buoy at 13 seconds.