The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 a.m. and 3:30 p.m., with a depth of 3.25 meters, while high tides occur at 7:45 a.m. and 11:15 p.m., with a depth of 8.75 meters. Which of the following equations models d, the depth of the water in meters, as a function of time, t, in hours? Let t = 0 be 12:00 a.m.
Answer
A
d = negative 3.75 cosine (StartFraction 4 pi Over 31 EndFraction t) + 5
B
d = negative 3.75 cosine (StartFraction 4 pi Over 29 EndFraction t) + 5
C
d = negative 2.75 cosine (StartFraction 4 pi Over 31 EndFraction t) + 6
D
d = negative 2.75 cosine (StartFraction 4 pi Over 29 EndFraction t) + 6