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TABLE 2 TABLE 3 Phoenix, AZ Average Temperatures Month Attendance 40,000 - 35,000 Jan January February 54 6,500 30,000 Feb 58 6,600 25,000 Mar 62 March 15,800 20,000 Apr 70 April 26,000 15,000 - May 79 May 38,000 10,000 - Jun 88 June 36,000 5,000 - Jul 94 31,300 July August September 2 3 4 5 6 7 8 9 10 1 12 1: Aug 92 23,500 Sep 86 12,000 Figure 14 Oct 75 October 4,000 Nov 62 November 900 Dec 54 December 2,100

TABLE 2 TABLE 3 Phoenix, AZ Average Temperatures Month Attendance 40,000 - 35,000 Jan January February 54 6,500 30,000 Feb 58 6,600 25,000 Mar 62 March 15,800 20,000 Apr 70 April 26,000 15,000 - May 79 May 38,000 10,000 - Jun 88 June 36,000 5,000 - Jul 94 31,300 July August September 2 3 4 5 6 7 8 9 10 1 12 1: Aug 92 23,500 Sep 86 12,000 Figure 14 Oct 75 October 4,000 Nov 62 November 900 Dec 54 December 2,100

Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...
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Question

Table 3 shows the average monthly attendance at Lake
Nacimiento in California. Find the equation of a trigonometric function to use
as a model for this data. (Source: Nacimiento Water Supply Project: Report on
Recreational Use at Lake Nacimiento)

TABLE 2 TABLE 3 Phoenix, AZ Average Temperatures Month Attendance 40,000 - 35,000 Jan January February 54 6,500 30,000 Feb 58 6,600 25,000 Mar 62 March 15,800 20,000 Apr 70 April 26,000 15,000 - May 79 May 38,000 10,000 - Jun 88 June 36,000 5,000 - Jul 94 31,300 July August September 2 3 4 5 6 7 8 9 10 1 12 1: Aug 92 23,500 Sep 86 12,000 Figure 14 Oct 75 October 4,000 Nov 62 November 900 Dec 54 December 2,100
Transcribed Image Text:TABLE 2 TABLE 3 Phoenix, AZ Average Temperatures Month Attendance 40,000 - 35,000 Jan January February 54 6,500 30,000 Feb 58 6,600 25,000 Mar 62 March 15,800 20,000 Apr 70 April 26,000 15,000 - May 79 May 38,000 10,000 - Jun 88 June 36,000 5,000 - Jul 94 31,300 July August September 2 3 4 5 6 7 8 9 10 1 12 1: Aug 92 23,500 Sep 86 12,000 Figure 14 Oct 75 October 4,000 Nov 62 November 900 Dec 54 December 2,100
Expert Solution
Step 1

Below graph and table shows the average monthly attendance at Lake Nacimiento in California.

Trigonometry homework question answer, step 1, image 1

Trigonometry homework question answer, step 1, image 2

Step 2

Use the cosine function model, y=k+AcosBx-h.

The amplitude A is the half of the difference between highest point and lowest point.

A=1238,000-900=18,550

The vertical translation k is the average of highest point and lowest point.

k=1238,000+900=19,450

The maximum value occur at x=5 and the minimum value occur at x=11.

The horizonal distance between maximum and minimum values is the half of the period.

Period = 211-5=12

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