Assume that the average temperature for the year in a particular city is 54 with a high of about 80 and a low of about 28. Measure time in months where t=0 represents January 1, t=1 represents February 1, etc. Also assume that the coldest time of the year is the middle of January (t=.5).

Assume that the average temperature for the year in a particular city is 54 with a high of about 80 and a low of about 28. Measure time in months where t=0 represents January 1, t=1 represents February 1, etc. Also assume that the coldest time of the year is the middle of January (t=.5).

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Question

Sinusoidal modeling: use your knowledge of amplitude, period, vertical translations, and horizontal translations along with your higher order of thinking skills to find functions that model the following.

6. Assume that the average temperature for the year in a particular city is 54 with a
high of about 80 and a low of about 28. Measure time in months where t=0
represents January 1, t=1 represents February 1, etc. Also assume that the coldest
time of the year is the middle of January (t=.5).

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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