The depth of the water at the end of the fishing pier varies with the tide on any given day. Suppose the low tide occurs at 5:00 a.m. and the depth of the water is 5.0 feet, then high tide occurs at 11:30 a.m. with a depth of 13.0 feet.
A. Sketch a graph showing how the depth of the water depends on the time since midnight, t = 0.
B. State the period, amplitude, and midline of the graph.
C. If a fishing boat needs at least 9 feet of water to dock next to the pier, what intervals of time can the boat safely be docked at the pier?
D. On what interval(s) is the rate of change negative and decreasing?