(b) According to the model, what was the total number of cases when the disease was spreading at the fastest rate? Round your answer to the nearest whole number. 13000 X cases

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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i need part b

Consider the plot of the total number E of Ebola cases in West Africa reported to the Centers for Disease Control and Prevention from April 1, 2014, through December 1, 2015.
O O O O
十 | ||
Ebola Cases in West Africa
A logistic fit for these data is given by
27,841.42
E =
1 + 134.65e
-0.646t'
where t is the time in months since April 1, 2014. Below, we have added the graph
model.
H41 HHH
Logistic Graph Added
(a) Does the first plot, "Ebola Cases in West Africa," show a continuing epidemic or a health crisis that is under control by December 2015?
Because the data points appear to be ( leveling off
, they show a health crisis that is under control
(b) According to the model, what was the total number of cases when the disease was spreading at the fastest rate? Round your answer to the nearest whole number.
13000
cases
(c) Use the crossing-graphs method to determine when the disease was growing at the fastest rate. Round your answer, in months after April 1, 2014, to one decimal place.
7.6
v months
Transcribed Image Text:Consider the plot of the total number E of Ebola cases in West Africa reported to the Centers for Disease Control and Prevention from April 1, 2014, through December 1, 2015. O O O O 十 | || Ebola Cases in West Africa A logistic fit for these data is given by 27,841.42 E = 1 + 134.65e -0.646t' where t is the time in months since April 1, 2014. Below, we have added the graph model. H41 HHH Logistic Graph Added (a) Does the first plot, "Ebola Cases in West Africa," show a continuing epidemic or a health crisis that is under control by December 2015? Because the data points appear to be ( leveling off , they show a health crisis that is under control (b) According to the model, what was the total number of cases when the disease was spreading at the fastest rate? Round your answer to the nearest whole number. 13000 cases (c) Use the crossing-graphs method to determine when the disease was growing at the fastest rate. Round your answer, in months after April 1, 2014, to one decimal place. 7.6 v months
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