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1. The water level at a town changes as the tides come in and go out. Liv found a high tide of 8m 1h (lam) after midnight, a low tide of 2 m 7h(7am) after midnight., and a high tide again 13h after midnight (1pm). Use a sinusoidal function to model the water level as a function of time (hour). a) Determine two equations that models the water levels. Hint: Make a quick sketch of the scenario. (2T) b) What is the approximate water level at 9am (2A) c) What is the average rate of change from 2pm to 5pm? (2A) d) What is the instantaneous rate of instantaneous rate of change at 4pm? (3A)

1. The water level at a town changes as the tides come in and go out. Liv found a high tide of 8m 1h (lam) after midnight, a low tide of 2 m 7h(7am) after midnight., and a high tide again 13h after midnight (1pm). Use a sinusoidal function to model the water level as a function of time (hour). a) Determine two equations that models the water levels. Hint: Make a quick sketch of the scenario. (2T) b) What is the approximate water level at 9am (2A) c) What is the average rate of change from 2pm to 5pm? (2A) d) What is the instantaneous rate of instantaneous rate of change at 4pm? (3A)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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1. The water level at a town changes as the tides come in and go out. Liv found a high tide of 8m 1h (lam) after midnight, a low tide of 2 m 7h(7am) after midnight., and a high tide again 13h after midnight (1pm). Use a sinusoidal function to model the water level as a function of time (hour). a) Determine two equations that models the water levels. Hint: Make a quick sketch of the scenario. (2T) b) What is the approximate water level at 9am (2A) c) What is the average rate of change from 2pm to 5pm? (2A) d) What is the instantaneous rate of instantaneous rate of change at 4pm? (3A)
Transcribed Image Text:1. The water level at a town changes as the tides come in and go out. Liv found a high tide of 8m 1h (lam) after midnight, a low tide of 2 m 7h(7am) after midnight., and a high tide again 13h after midnight (1pm). Use a sinusoidal function to model the water level as a function of time (hour). a) Determine two equations that models the water levels. Hint: Make a quick sketch of the scenario. (2T) b) What is the approximate water level at 9am (2A) c) What is the average rate of change from 2pm to 5pm? (2A) d) What is the instantaneous rate of instantaneous rate of change at 4pm? (3A)
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