Answered: Average Monthly Temperature, °F Month,…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.1: Ratios

Problem 21WE

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. Monthly Temperature The data on the next page represent
the average monthly temperatures for Washington, D.C.
(a) Draw a scatter diagram of the data for one period.
(b) Find a sinusoidal function of the form
y = A sin (ωx - ∅) + B that models the data (c) Draw the sinusoidal function found in part (b) on the
scatter diagram.
(d) Use a graphing utility to find the sinusoidal function of
best fit.
(e) Graph the sinusoidal function of best fit on a scatter
diagram of the data.

Average Monthly
Temperature, °F
Month, x
January, 1
36.0
February, 2
39.0
March, 3
46.8
April, 4
56.8
May, 5
66.0
June, 6
75.2
July, 7
79.8
August, 8
78.1
September, 9
71.0
October, 10
59.5
November, 11
49.6
December, 12
39.7
Source: U.S. National Oceanic and
Atmospheric Administration

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