In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t days after the disease has begun is given by the function N(t)= parts a) through c) below. 3400 1+23.2e-0.7t OA. As t-0, N(t)-3400, so 3400 people will be infected after days. days. OB. As t-e, N(t)-3400, so 3400 people will be infected after OC. As t→∞o, N(t)-3400, so the number approaches 3400, but never actually reaches it. Complete 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. (Round to the nearest whole number as needed.) (Round to the nearest whole numbers as needed.) The number infected after 2 days is The number infected after 5 days is The number infected after 8 days is The number infected after 12 days is (Round to the nearest whole numbers as needed.) (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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 44PPS
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In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t days after the disease has begun is given by the function N(t) =
parts a) through c) below.
CIL
O A. As t→0, N(t)-3400, so 3400 people will be infected after
days.
days.
OB. As t-e, N(t)-3400, so 3400 people will be infected after
OC. As t→∞o, N(t)-3400, so the number approaches 3400, but never actually reaches it.
3400
1+23.2e 0.7t
Complete
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.
(Round to the nearest whole number as needed.)
(Round to the nearest whole numbers as needed.)
The number infected after 2 days is
The number infected after 5 days is
The number infected after 8 days is
The number infected after 12 days is
The number infected after 16 days is
(Round to the nearest whole numbers as needed.)
(Round to the nearest whole numbers as needed.)
(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.
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 begun is given by the function N(t) = parts a) through c) below. CIL O A. As t→0, N(t)-3400, so 3400 people will be infected after days. days. OB. As t-e, N(t)-3400, so 3400 people will be infected after OC. As t→∞o, N(t)-3400, so the number approaches 3400, but never actually reaches it. 3400 1+23.2e 0.7t Complete 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. (Round to the nearest whole number as needed.) (Round to the nearest whole numbers as needed.) The number infected after 2 days is The number infected after 5 days is The number infected after 8 days is The number infected after 12 days is The number infected after 16 days is (Round to the nearest whole numbers as needed.) (Round to the nearest whole numbers as needed.) (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.
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