3. ) During the autumnal equinox, the surface temperature (°C) of the water of a lake x hours after sunrise was recorded over a 24 hour period. The results are shown in the graph below. If y represents the surface temperature of the water x hours after sunrise, the variation in temperature can be approximated by a cosine function of the form y= A cos Bx+ D. Find the equation. Explain your reasoning and show your work. Temperature (°C) 20 20 y 15 10 50 12 18 T 24 Number of Hours after Sunrise

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 9E
Question
Show all work and explain reasoning
3.
) During the autumnal equinox, the surface temperature (°C) of the water of a
lake x hours after sunrise was recorded over a 24 hour period. The results are shown
in the graph below. If y represents the surface temperature of the water x hours after
sunrise, the variation in temperature can be approximated by a cosine function of the form
y= A cos Bx+ D. Find the equation. Explain your reasoning and show your work.
Temperature (°C)
20
20
y
15
10
50
12
18
T
24
Number of Hours after Sunrise
Transcribed Image Text:3. ) During the autumnal equinox, the surface temperature (°C) of the water of a lake x hours after sunrise was recorded over a 24 hour period. The results are shown in the graph below. If y represents the surface temperature of the water x hours after sunrise, the variation in temperature can be approximated by a cosine function of the form y= A cos Bx+ D. Find the equation. Explain your reasoning and show your work. Temperature (°C) 20 20 y 15 10 50 12 18 T 24 Number of Hours after Sunrise
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