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Suppose that the length of time between consecutive high tides is 12 hours and 28 minutes. According to the National Oceanic and Atmospheric Administration, on a particular day in a city, high tide accurred at 12:28 AM (0.47 hours) and low tide occurred at 7:05 AM (7.08 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.92 feet and the height of the water at low tide was 0.06 foot. Complete parts (a) through (c). (a) Approximately when will the next high tide occur? The next high tide will occur at 12:56 PM. (b) Find a sinusoidal function of the form y= A sin (ax -) +B that models the data. y = 2.93 sin (0.504 x+ 1.335) + 2.99 (Simplity your answers. Round to the nearest thousandth as needed.) (c) Use the function found in part (b) to predict the height of the water at 4 PM. The height of the water at 4 PM is approximately . (Simplify your answer. Type an integer or decimal rounded tg the nearest thousandth as noeded

Suppose that the length of time between consecutive high tides is 12 hours and 28 minutes. According to the National Oceanic and Atmospheric Administration, on a particular day in a city, high tide accurred at 12:28 AM (0.47 hours) and low tide occurred at 7:05 AM (7.08 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.92 feet and the height of the water at low tide was 0.06 foot. Complete parts (a) through (c). (a) Approximately when will the next high tide occur? The next high tide will occur at 12:56 PM. (b) Find a sinusoidal function of the form y= A sin (ax -) +B that models the data. y = 2.93 sin (0.504 x+ 1.335) + 2.99 (Simplity your answers. Round to the nearest thousandth as needed.) (c) Use the function found in part (b) to predict the height of the water at 4 PM. The height of the water at 4 PM is approximately . (Simplify your answer. Type an integer or decimal rounded tg the nearest thousandth as noeded

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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Suppose that the length of time between consecutive high tides is 12 hours and 28 minutes. According to the National Oceanic and Atmospheric Administration, on a particular day in a city, high tide occurred at 12:28 AM (0.47 hours) and low tide occurred at 7:05 AM (7.08 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.92 feet and the height of the water at low tide was 0.06 foot. Complete parts (a) through (c). (a) Approximately when will the next high tide occur? The next high tide will occur at 12:56 PM. (b) Find a sinusoidal function of the form y = A sin (ax -) +B that models the data. y = 2.93 sin (0.504 x + 1.335 ) + 2.99 (Simplify your answers. Round to the nearest thousandth as needed.) (c) Use the function found in part (b) to predict the height of the water at 4 PM. The height of the water at 4 PM is approximately ft. (Simplify your answer. Type an integer or decimal rounded to the nearest thousandth as needed.) II
Transcribed Image Text:Suppose that the length of time between consecutive high tides is 12 hours and 28 minutes. According to the National Oceanic and Atmospheric Administration, on a particular day in a city, high tide occurred at 12:28 AM (0.47 hours) and low tide occurred at 7:05 AM (7.08 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.92 feet and the height of the water at low tide was 0.06 foot. Complete parts (a) through (c). (a) Approximately when will the next high tide occur? The next high tide will occur at 12:56 PM. (b) Find a sinusoidal function of the form y = A sin (ax -) +B that models the data. y = 2.93 sin (0.504 x + 1.335 ) + 2.99 (Simplify your answers. Round to the nearest thousandth as needed.) (c) Use the function found in part (b) to predict the height of the water at 4 PM. The height of the water at 4 PM is approximately ft. (Simplify your answer. Type an integer or decimal rounded to the nearest thousandth as needed.) II
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