Julie used data from 2017 to create this function to model the amount of daylight in New York Citythroughout any year. The variable t represents the number of days beginning with the springequinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes.1. According to Julie's function, what are the dates in 2017 with the greatest amount and leastamount of daylight time? What is the amount of daylight time during each of these days, in hoursand minutes? Explain your reasoning.JanuaryMTWTFS2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D.a. Explain how your responses to Question 1 relate to the A-value in this context.b. What is the meaning of the B-value and D-value in this context.20178 9 10 11 12 13 1415 16 17 18 19 20 2122 23 24 25 26 27 2829 30 31MaySMTWTFS1 2 3 4 5 678 9 10 11 12 1314 15 16 17 18 19 2021 22 23 24 25 26 2729 30 31SeptemberSMTWTFSD(t) = 175.5 sin 365t123 4 5 6 7 8 910 11 12 13 14 15 1617 18 19 20 21 22 2324 25 26 27 28 29 30Your DoononcOOLFebruaryt + 732AprilTWTFSSMTWTFSS MTWTF5 78912 13 14 15 16 17 1819 20 21 22 23 24 2526 27 281 2 3 411 5 6 7 8 9 10 1112 13 14 15 16 17 1819 20 21 22 23 24 2526 27 28 29 30 31JuneSMTWTFS1 2 34 5 6 7 8 9 1011 12 13 14 15 16 1718 19 20 21 22 23 2425 26 27 28 29 30MarchOctoberSMTWTFS1 2 3 4 5 6 78 9 10 11 12 13 1415 16 17 18 19 20 2122 23 24 25 26 27 2829 30 31JulySMTWTFS2 3 4 5 6 7 89 10 11 12 13 14 1516 17 18 19 20 21 2223 24 25 26 27 28 2930 31NovemberSMTWTFS5 6 7 8 9 10 1112 13 14 15 16 17 1819 20 21 22 23 24 2526 27 28 29 302 3 4 5 6 7 89 10 11 12 13 14 1516 17 18 19 20 21 2223 24 25 26 27 28 2930AugustSMTWTFS6 7 8 9 10 11 1213 14 15 16 17 18 1920 21 22 23 24 25 2627 28 29 30 31DecemberSMTWTFS123 4 5 6 7 8 910 11 12 13 14 15 1617 18 19 20 21 22 2324 25 26 27 28 29 3031

Answered: Image /qna-images/answer/1722d659-cde4-4d8e-a7fd-85d54ccc1718.jpg

Julie used data from 2017 to create this function to model the amount of daylight in New York City throughout any year. The variable t represents the number of days beginning with the spring equinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes. D(t) = 175.5 sint + 732 1. According to Julie's function, what are the dates in 2017 with the greatest amount and least amount of daylight time? What is the amount of daylight time during each of these days, in hours and minutes? Explain your reasoning. 2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D. a. Explain how your responses to Question 1 relate to the A-value in this context. b. What is the meaning of the B-value and D-value in this context.

Julie used data from 2017 to create this function to model the amount of daylight in New York City throughout any year. The variable t represents the number of days beginning with the spring equinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes. D(t) = 175.5 sint + 732 1. According to Julie's function, what are the dates in 2017 with the greatest amount and least amount of daylight time? What is the amount of daylight time during each of these days, in hours and minutes? Explain your reasoning. 2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D. a. Explain how your responses to Question 1 relate to the A-value in this context. b. What is the meaning of the B-value and D-value in this context.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Julie used data from 2017 to create this function to model the amount of daylight in New York City
throughout any year. The variable t represents the number of days beginning with the spring
equinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes.
1. According to Julie's function, what are the dates in 2017 with the greatest amount and least
amount of daylight time? What is the amount of daylight time during each of these days, in hours
and minutes? Explain your reasoning.
January
MTWTFS
2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D.
a. Explain how your responses to Question 1 relate to the A-value in this context.
b. What is the meaning of the B-value and D-value in this context.
2017
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 31
May
SMTWTFS
1 2 3 4 5 6
7
8 9 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
29 30 31
September
SMTWTFS
D(t) = 175.5 sin 365t
12
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
Your DoononcOOL
February
t + 732
April
TWTFSSMTWTFSS MTWTF
5 789
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28
1 2 3 4
11 5 6 7 8 9 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30 31
June
SMTWTFS
1 2 3
4 5 6 7 8 9 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
25 26 27 28 29 30
March
October
SMTWTFS
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 31
July
SMTWTFS
2 3 4 5 6 7 8
9 10 11 12 13 14 15
16 17 18 19 20 21 22
23 24 25 26 27 28 29
30 31
November
SMTWTFS
5 6 7 8 9 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30
2 3 4 5 6 7 8
9 10 11 12 13 14 15
16 17 18 19 20 21 22
23 24 25 26 27 28 29
30
August
SMTWTFS
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31
December
SMTWTFS
12
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
31

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