On August 31, 1854, an epidemic of cholera was discovered in London, England, resulting from a contaminated community water pump. By the end of September, more than 600 citizens who drank water from the pump had died. The cumulative number of deaths D (t) at a time t days after August 31 is given by D (t)=91+160 In (t+1). (a) Determine the cumulative number of deaths by September 14. Round the answer to the nearest whole unit. (b) Approximately how many days after August 31 did the cumulative number of deaths reach 300? Round the answer to the nearest whole unit. Number of Deaths 800 600 400 200 0 0 Cumulative Deaths vs. Time D(t)= 91 + 160 In(t+1) 1 5 1 1 10 15 20 Days after August 31 1 25 30

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 58E
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On August 31, 1854, an epidemic of cholera was discovered in London, England, resulting from a contaminated community water pump. By the end of
September, more than 600 citizens who drank water from the pump had died. The cumulative number of deaths D (t) at a time t days after August 31 is given
by D (t)=91+160 In (t+1).
(a) Determine the cumulative number of deaths by September 14. Round the answer to the nearest whole unit.
(b) Approximately how many days after August 31 did the cumulative number of deaths reach 300? Round the answer to the nearest whole unit.
Number of Deaths
800
600
400
200
0
0
Cumulative Deaths vs. Time
D(t) = 91 + 160 In(t+1)]
1 1
5
I
10 15 20 25
Days after August 31
30
Transcribed Image Text:On August 31, 1854, an epidemic of cholera was discovered in London, England, resulting from a contaminated community water pump. By the end of September, more than 600 citizens who drank water from the pump had died. The cumulative number of deaths D (t) at a time t days after August 31 is given by D (t)=91+160 In (t+1). (a) Determine the cumulative number of deaths by September 14. Round the answer to the nearest whole unit. (b) Approximately how many days after August 31 did the cumulative number of deaths reach 300? Round the answer to the nearest whole unit. Number of Deaths 800 600 400 200 0 0 Cumulative Deaths vs. Time D(t) = 91 + 160 In(t+1)] 1 1 5 I 10 15 20 25 Days after August 31 30
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