For the past three years, the manager of a shop has observed that revenue reaches a high of about S60,000 in December and a low of about $10,000 in June, and that a graph of the revenue looks like a sinusoid If the months are numbered 1 through 36 with 1 corresponding to January, then what are the period, amplitude, and phase shift for this sinusoid when its equation is written in the form y = A sin [B(x- C)]+ D? What is the vertical translation? Write a formula for the curve and find the approximate revenue for March.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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For the past three years, the manager of a shop has observed that revenue reaches a high of about $60,000 in
December and a low of about $10,000 in June, and that a graph of the revenue looks like a sinusoid. If the
months are numbered 1 through 36 with 1 corresponding to January, then what are the period, amplitude, and
phase shift for this sinusoid when its equation is written in the form y =A sin [B(x- C)]+ D? What is the vertical
translation? Write a formula for the curve and find the approximate revenue for March.
Transcribed Image Text:For the past three years, the manager of a shop has observed that revenue reaches a high of about $60,000 in December and a low of about $10,000 in June, and that a graph of the revenue looks like a sinusoid. If the months are numbered 1 through 36 with 1 corresponding to January, then what are the period, amplitude, and phase shift for this sinusoid when its equation is written in the form y =A sin [B(x- C)]+ D? What is the vertical translation? Write a formula for the curve and find the approximate revenue for March.
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