The table shows the number C of cars in an office parking lot over the course of a work day. The time t is measured in hours, with = 0 representing 7:00am. 0 13 1 67 2 92 3 108 82 5 52 15 75 8 9 10 11 100 110 86 34 12 c) Use a graphing calculator to write a sinusoidal model that gives C as a function of t. 12 a) You want to write a sinusoidal model for the data in the table without using a graphing calculator. Is it more convenient to model the data with a sine or cosine function? Explain. b) Write a sinusoidal model for the number C of cars as a function of the time t (in hours) without using a graphing calculator. Identify and explain how you calculated your values for the amplitude, period, horizontal shift, and vertical shift.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
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Question
s Help
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PE
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Last edit was 14 minutes ago
C
12
0
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4. The table shows the number C of cars in an office parking lot over the course of a work day. The
time t is measured in hours, with = 0 representing 7:00am.
2
2
92
Revised May 2016
3
L
108
GO + A Y
4
3 CL
82
H
5
52
6
4
15
7
75
5
8
9
6
10
··
11
100 110 86 34
a) You want to write a sinusoidal model for the data in the table without using a graphing
calculator. Is it more convenient to model the data with a sine or cosine function? Explain.
c) Use a graphing calculator to write a sinusoidal model that gives C as a function of t.
b) Write a sinusoidal model for the number C of cars as a function of the time t (in hours) without
using a graphing calculator. Identify and explain how you calculated your values for the
amplitude, period, horizontal shift, and vertical shift.
12
12
Page 4
105
Transcribed Image Text:s Help ew... PE Y - t Last edit was 14 minutes ago C 12 0 + BIUA 13 O 1 1 67 4. The table shows the number C of cars in an office parking lot over the course of a work day. The time t is measured in hours, with = 0 representing 7:00am. 2 2 92 Revised May 2016 3 L 108 GO + A Y 4 3 CL 82 H 5 52 6 4 15 7 75 5 8 9 6 10 ·· 11 100 110 86 34 a) You want to write a sinusoidal model for the data in the table without using a graphing calculator. Is it more convenient to model the data with a sine or cosine function? Explain. c) Use a graphing calculator to write a sinusoidal model that gives C as a function of t. b) Write a sinusoidal model for the number C of cars as a function of the time t (in hours) without using a graphing calculator. Identify and explain how you calculated your values for the amplitude, period, horizontal shift, and vertical shift. 12 12 Page 4 105
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