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. Jul Aug Sep 78 76 Month Jan Nov Dec Feb Mar Apr May Jun 54 65 Oct 57 Тemp. |29 32 41 74 68 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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
3.
Oct
Nov
Aug Sep
78
Feb Mar
Apr May Jun
Jul
Dec
Month Jan
Тemp. | 29
68
57
45
33
32
41
54
65
74
76
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: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. 3. Oct Nov Aug Sep 78 Feb Mar Apr May Jun Jul Dec Month Jan Тemp. | 29 68 57 45 33 32 41 54 65 74 76 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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