The figure shows the depth of water at the end of a boat dock. The depth is 5 feet at low tide and 13 feet at high tide. On a certain day, low tide occurs at 6 AM and high tide at noon. If y represents the depth of the water x hours after midnight, cosine function of the form y = A cos Bx + D to model the water's depth. Write the equation for this problem in the form y= A cos Bx + D. y=D (Type an expression using x as the variable. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) use 6 12 18 24 Hours after Midnight Depth (feet)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 6E
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The figure shows the depth of water at the end of a boat dock. The depth is 5 feet at low tide and 13 feet at high tide. On
a certain day, low tide occurs at 6 AM and high tide at noon. If y represents the depth of the water x hours after midnight,
cosine function of the form y = A cos Bx + D to model the water's depth.
Write the equation for this problem in the form y = A cos Bx + D
y=D
(Type an expression using x as the variable. Type an exact answer, using x as needed. Use integers or fractions for
any numbers in the expression.)
use
6 12 18 24
Hours after Midnight
Transcribed Image Text:The figure shows the depth of water at the end of a boat dock. The depth is 5 feet at low tide and 13 feet at high tide. On a certain day, low tide occurs at 6 AM and high tide at noon. If y represents the depth of the water x hours after midnight, cosine function of the form y = A cos Bx + D to model the water's depth. Write the equation for this problem in the form y = A cos Bx + D y=D (Type an expression using x as the variable. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) use 6 12 18 24 Hours after Midnight
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