3. The table below shows the highest daily temperatures (in degrees Fahrenheit) averaged over the month for the city of Binghamton, NY. Assume Jan represents t = 1. Month Мay Jan Feb Mar Apr Jun Jul Aug Sep Oct Nov Dec Тemp. | 29 32 41 54 65 74 78 76 68 57 45 33 a) Use the graphing calculator to find an approximate equation of f(x) in the form y = a sin(k(x-b)) + c. Round a, b, k, and c to four decimal places. b) Using the model from a), what months will the temperature exceed 60°F?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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3.
The table below shows the highest daily temperatures (in degrees Fahrenheit)
averaged over the month for the city of Binghamton, NY. Assume Jan represents t = 1.
Month Jan
Feb
Mar
Apr May
Мay
Jun
Jul
Aug Sep
Oct
Nov
Dec
Тemp. | 29
32
41
54
65
74
78
76
68
57
45
33
a) Use the graphing calculator to find an approximate equation of f (x) in the form
y = a sin(k(x - b)) + c. Round a, b, k, and c to four decimal places.
b) Using the model from a), what months will the temperature exceed 60°F?
Transcribed Image Text:3. The table below shows the highest daily temperatures (in degrees Fahrenheit) averaged over the month for the city of Binghamton, NY. Assume Jan represents t = 1. Month Jan Feb Mar Apr May Мay Jun Jul Aug Sep Oct Nov Dec Тemp. | 29 32 41 54 65 74 78 76 68 57 45 33 a) Use the graphing calculator to find an approximate equation of f (x) in the form y = a sin(k(x - b)) + c. Round a, b, k, and c to four decimal places. b) Using the model from a), what months will the temperature exceed 60°F?
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