A virus is believed to be spreading through a sheep farm according to that equation N = 450 (1/1 + 249e−0.1t ) where N is the number of sheep infected and t is the number of days. (i) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 , 50, 70, 100 days) (iii) Will all the sheep become infected eventually? Give reasons to support your answer.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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A virus is believed to be spreading through a sheep farm according to that equation

N = 450 (1/1 + 249e−0.1t ) where N is the number of sheep infected and t is the number of days.

(i) How many sheep are infected at t = 0?


(ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 , 50, 70, 100 days)


(iii) Will all the sheep become infected eventually? Give reasons to support your answer.

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