A meeting of the elders was held in a village in the early 1400's. In the meeting, the date of a future ceremony was first set, and the attendees were instructed to spread the date to their fellow villagers. In the table below, t represents the number of days that had passed since the meeting, and V represents the number of villagers that had acquired the date of the ceremony. t V 2 475 4 722 Logistic y= с 1+ ae b 9 1748 OC. Exponential (y=a.b*) OD. Linear (y = mx + b) 16 3591 Use the data to construct a scatter plot, then complete the following. 1) Using the scatter plot and the context of the problem, which of the following best describes the pattern? O A. Quadratic (y = ax² +bx+c) OB. 21 4370 24 4541 Approximately how many villagers were at the meeting of the elders? About 4758 villagers were at the meeting. According to the model, about 302 villagers will eventually know the date of the ceremony. 2) Using your calculator and the best of the four methods above, find the model that approximates the number of villagers that had acquired the date of the ceremony t days after the meeting. Use that result to answer the following questions. ROUND TO THE NEAREST PERSON. 28 4655 How fast was the date of the ceremony spreading exactly 15 days after the meeting? It was spreading at a rate of about villagers per day.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A meeting of the elders was held in a village in the early 1400's. In the meeting, the date of a future ceremony was first set, and the attendees were instructed to spread the date to their fellow
villagers. In the table below, t represents the number of days that had passed since the meeting, and V represents the number of villagers that had acquired the date of the ceremony.
t
V
2
475
B.
4
722
Logistic y=
C
1+ ae-bx
9
1748
OC. Exponential (y = a • b*)
O D. Linear (y = mx + b)
16
3591
Use the data to construct a scatter plot, then complete the following.
1) Using the scatter plot and the context of the problem, which of the following best describes the pattern?
O A. Quadratic (y = ax² + bx + c)
21
4370
24
4541
Approximately how many villagers were at the meeting of the elders?
About 4758 villagers were at the meeting.
According to the model, about 302 villagers will eventually
know the date of the ceremony.
2) Using your calculator and the best of the four methods above, find the model that approximates the number of villagers that had acquired the date of the ceremony t days after the meeting. Use
that result to answer the following questions.
ROUND TO THE NEAREST PERSON.
28
4655
How fast was the date of the ceremony spreading exactly 15 days after the meeting?
It was spreading at a rate of about villagers per day.
Transcribed Image Text:A meeting of the elders was held in a village in the early 1400's. In the meeting, the date of a future ceremony was first set, and the attendees were instructed to spread the date to their fellow villagers. In the table below, t represents the number of days that had passed since the meeting, and V represents the number of villagers that had acquired the date of the ceremony. t V 2 475 B. 4 722 Logistic y= C 1+ ae-bx 9 1748 OC. Exponential (y = a • b*) O D. Linear (y = mx + b) 16 3591 Use the data to construct a scatter plot, then complete the following. 1) Using the scatter plot and the context of the problem, which of the following best describes the pattern? O A. Quadratic (y = ax² + bx + c) 21 4370 24 4541 Approximately how many villagers were at the meeting of the elders? About 4758 villagers were at the meeting. According to the model, about 302 villagers will eventually know the date of the ceremony. 2) Using your calculator and the best of the four methods above, find the model that approximates the number of villagers that had acquired the date of the ceremony t days after the meeting. Use that result to answer the following questions. ROUND TO THE NEAREST PERSON. 28 4655 How fast was the date of the ceremony spreading exactly 15 days after the meeting? It was spreading at a rate of about villagers per day.
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