In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t days after the disease h 3400 begun is given by the function N(t) = - 1+222e -0.41 Complete parts a) through c) below. a) How many are initially infected with the disease (t = 0)?
In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t days after the disease h 3400 begun is given by the function N(t) = - 1+222e -0.41 Complete parts a) through c) below. a) How many are initially infected with the disease (t = 0)?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t days after the disease has
3400
begun is given by the function N(t) =
- 0.4t
Complete parts a) through c) below.
1+22.2 e
a) How many are initially infected with the disease (t= 0)?
(Round to the nearest whole number as needed.)
b) Find the number infected after 2 days, 5 days, 8 days, 12 days, and 16 days.
The number infected after 2 days is. (Round to the nearest whole number as needed.)
The number infected after 5 days is (Round to the nearest whole numbers as needed.)
The number infected after 8 days is (Round to the nearest whole numbers as needed.)
The number infected after 12 days is (Round to the nearest whole numbers as needed.)
The number infected after 16 days is
(Round to the nearest whole numbers as needed.)
c) Using this model, can you say whether all 3400 people will ever be infected? Explain. Select the correct choice below and, if
necessary, fill in the answer box to complete your choice.
O A. Ast-e, N(t)→3400, so 3400 people will be infected after
days.
O B. Ast-0, N(t)→3400, so 3400 people will be infected after
days.
OC. As t→o, N(t)→3400, so the number approaches 3400, but never actually reaches it.
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