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. 2 300 Logistic 4 456 = C -bx 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? OA. Exponential (y=a.b*) OB. Linear (y = mx + b) &C. 1+ ae 9 1104 OD. Quadratic (y = ax²+bx+c) 16 2268 21 2760 24 2868 Approximately how many villagers were at the meeting of the elders? About 3021 villagers were at the meeting. 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. According to the model, about 3021 villagers will eventually know the date of the ceremony. 28 2940 How fast was the date of the ceremony spreading exactly 15 days after the meeting? It was spreading at a rate of about 142 villagers per day.
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. 2 300 Logistic 4 456 = C -bx 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? OA. Exponential (y=a.b*) OB. Linear (y = mx + b) &C. 1+ ae 9 1104 OD. Quadratic (y = ax²+bx+c) 16 2268 21 2760 24 2868 Approximately how many villagers were at the meeting of the elders? About 3021 villagers were at the meeting. 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. According to the model, about 3021 villagers will eventually know the date of the ceremony. 28 2940 How fast was the date of the ceremony spreading exactly 15 days after the meeting? It was spreading at a rate of about 142 villagers per day.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
300
C.
4
456
Logistic y=-
C
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?
OA. Exponential (y = a.b*)
B. Linear (y = mx + b)
-
- bx
1 + ae
9
1104
O D. Quadratic (y = ax² +bx+c)
16
2268
21
2760
24
2868
Approximately how many villagers were at the meeting of the elders?
About 3021 villagers were at the meeting.
28
2940
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.
According to the model, about 3021 villagers will eventually
know the date of the ceremony.
How fast was the date of the ceremony spreading exactly 15 days after the meeting?
It was spreading at a rate of about 142 villagers per day.
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