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 rst 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 2 4 9 16 21 24 28 V 175 266 644 1323 1610 1673 1715 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? 3-.5 ' Quadratic (y = ax2 + bx + c) .;_ _:- B. Linear (y = mx + b) ' Exponential (y=a-bx) c Logistic [y = bx] 1+ae_ 2) Using your calculator and the best of the four methods above, nd 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. ROUN 3 TO THE NEAREST PERSON. Approximately how many villagers were at the meeting of the elders? About villagers were at the meeting. According to the model, about 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 villagers per day