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K A news item is spread by word of mouth to a potential audience of 6,000 people. The following function models the number of

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K A news item is spread by word of mouth to a potential audience of 6,000 people. The following function models the number of people who have heard the news after t days. Complete parts (a) through (g) below. Ay 6000- 6,000 1(t)= 4000- -0.3t 1+70e (a) Approximately how many people will have heard the news after 12 days? 2100 (Round to the nearest hundred as needed.) (b) At approximately what rate will the news spread after 18 days? 300 people/day (Round to the nearest hundred as needed.) (c) Approximately when will 2500 people have heard the news? 2500 people will have heard the news after approximately days. (Round to the nearest whole number as needed.) 2000- 0+ 0 5 10 15 20 25 30 graph of f 500- AY 300- E 100- 0 5 10 15 20 25 30 graph of f' E

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