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Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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A business restaurant near the coast business varies sinusoidally over the year. (Many business models assume that there are 360 day in a year with 30 days per month. We will use this model.) The first low of 20 customers occurs on Jan 30th (Day 30) and the next high of 420 customers occurs on April 30th (Day 120). a. Write an equation for the # of customers you would expect on any given day. b. How many customers would you expect on March 15th? :y = 200 cos x + 220 : y = -200 cos (a – 30) + 220 90 : y = 200 cos z+ 220 180 : y = -200 cos (x – 30) + 220 :: 220 customers :: 185 customers :: 254 customers : 288 customers 1 2 3 ERevie
Transcribed Image Text:A business restaurant near the coast business varies sinusoidally over the year. (Many business models assume that there are 360 day in a year with 30 days per month. We will use this model.) The first low of 20 customers occurs on Jan 30th (Day 30) and the next high of 420 customers occurs on April 30th (Day 120). a. Write an equation for the # of customers you would expect on any given day. b. How many customers would you expect on March 15th? :y = 200 cos x + 220 : y = -200 cos (a – 30) + 220 90 : y = 200 cos z+ 220 180 : y = -200 cos (x – 30) + 220 :: 220 customers :: 185 customers :: 254 customers : 288 customers 1 2 3 ERevie
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