10. The monthly average temperatures for a city are given in the following table: Month 1 2 3 4 5 6 7 8 9 10 11 12 Temperature (°F)| 29 38 50 64 73 75 72 63 51 39 28 26 (a) Find a function of the form y = Asin(Bx -C) + D that roughly fits this data. Note that the given data is not perfectly sinusoidal and so you will have to make some assumptions or approximations in order to find your function, just be sure to clearly explain each step in your process for how you can find A, B, C, and D. (b) On the same set of axes, draw the function that you found in part a and also plot the 12 given points in the table above to make sure that your function approximately matches your data.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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10. The monthly average temperatures for a city are given in the following table:
Month
1 2 3 4 5 6 7 8 9 10 11 12
Temperature (°F)| 29 38 50 64 73 75 72 63 51 39 28 26
(a) Find a function of the form y = Asin(Bx -C) + D that roughly fits this data.
Note that the given data is not perfectly sinusoidal and so you will have to make
some assumptions or approximations in order to find your function, just be sure
to clearly explain each step in your process for how you can find A, B, C, and
D.
(b) On the same set of axes, draw the function that you found in part a and also
plot the 12 given points in the table above to make sure that your function
approximately matches your data.
Transcribed Image Text:10. The monthly average temperatures for a city are given in the following table: Month 1 2 3 4 5 6 7 8 9 10 11 12 Temperature (°F)| 29 38 50 64 73 75 72 63 51 39 28 26 (a) Find a function of the form y = Asin(Bx -C) + D that roughly fits this data. Note that the given data is not perfectly sinusoidal and so you will have to make some assumptions or approximations in order to find your function, just be sure to clearly explain each step in your process for how you can find A, B, C, and D. (b) On the same set of axes, draw the function that you found in part a and also plot the 12 given points in the table above to make sure that your function approximately matches your data.
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