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 giver by D (t) = 91+ 160 In(t+1). (a) Determine the cumulative number of deaths by September 5. Round the answer to the nearest whole unit. (b) Approximately how many days after August 31 did the cumulative number of deaths reach 550? Round the answer to the nearest whole unit. Cumulative Deaths vs. Time 800 600 400 [D(t) = 91 + 160 In(t + 1)] 200 5 10 15 20 25 30 Days after August 31 Part 1 of 2 The cumulative number of deaths by September 5 was approximately Part 2 of 2 Approximately days after August 31 the cumulative number of deaths reached 550. Number of Deaths

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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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 timet days after August 31 is given
by D (t) = 91+160 ln (t+1).
(a) Determine the cumulative number of deaths by September 5. Round the answer to the nearest whole unit.
(b) Approximately how many days after August 31 did the cumulative number of deaths reach 550? Round the answer to the nearest whole unit.
Cumulative Deaths vs. Time
800
600
400
|D(t) = 91 + 160 In(t + 1)|
200
10
15
20
25
30
Days after August 31
Part 1 of 2
The cumulative number of deaths by September 5 was approximately
Part 2 of 2
Approximately
days after August 31 the cumulative number of deaths reached 550.
Number of Deaths
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 timet days after August 31 is given by D (t) = 91+160 ln (t+1). (a) Determine the cumulative number of deaths by September 5. Round the answer to the nearest whole unit. (b) Approximately how many days after August 31 did the cumulative number of deaths reach 550? Round the answer to the nearest whole unit. Cumulative Deaths vs. Time 800 600 400 |D(t) = 91 + 160 In(t + 1)| 200 10 15 20 25 30 Days after August 31 Part 1 of 2 The cumulative number of deaths by September 5 was approximately Part 2 of 2 Approximately days after August 31 the cumulative number of deaths reached 550. Number of Deaths
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