During a recent outbreak of Ebola in western Africa, the cumulative number of cases y was reported t months after April 1. (See Example 7) Cumulative Ebola Cases Month Number (f) Cumulative Cases (y) 3000 2400 18 1800 105 1200 230 600 3 438 3 4 6. 4 752 Month Number 1437 2502 a. Use a graphing utility to find a model of the form y = abt. Round a to 1 decimal place and b to 3 decimal places. b. Write the function from part (a) as an exponential function of the form y = aebt. c. Use either model to predict the number of Ebola cases 8 months after April 1 if this trend continues. Round to the nearest thousand. d. Would it seem reasonable for this trend to continue indefinitely? e. Use a graphing utility to find a logistic model y = Round a and c to the nearest whole number and b to 2 1 + ae decimal places. f. Use the logistic model from part (e) to predict the number of Ebola cases 8 months after April 1. Round to the nearest thousand. Number of Cases
During a recent outbreak of Ebola in western Africa, the cumulative number of cases y was reported t months after April 1. (See Example 7) Cumulative Ebola Cases Month Number (f) Cumulative Cases (y) 3000 2400 18 1800 105 1200 230 600 3 438 3 4 6. 4 752 Month Number 1437 2502 a. Use a graphing utility to find a model of the form y = abt. Round a to 1 decimal place and b to 3 decimal places. b. Write the function from part (a) as an exponential function of the form y = aebt. c. Use either model to predict the number of Ebola cases 8 months after April 1 if this trend continues. Round to the nearest thousand. d. Would it seem reasonable for this trend to continue indefinitely? e. Use a graphing utility to find a logistic model y = Round a and c to the nearest whole number and b to 2 1 + ae decimal places. f. Use the logistic model from part (e) to predict the number of Ebola cases 8 months after April 1. Round to the nearest thousand. Number of Cases
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![During a recent outbreak of Ebola in western Africa, the cumulative number of cases y was reported t months after April 1.
(See Example 7)
Cumulative Ebola Cases
Month
Number (f)
Cumulative
Cases (y)
3000
2400
18
1800
105
1200
230
600
3
438
3
4
6.
4
752
Month Number
1437
2502
a. Use a graphing utility to find a model of the form y = abt. Round a to 1 decimal place and b to 3 decimal places.
b. Write the function from part (a) as an exponential function of the form y = aebt.
c. Use either model to predict the number of Ebola cases 8 months after April 1 if this trend continues. Round to the
nearest thousand.
d. Would it seem reasonable for this trend to continue indefinitely?
e. Use a graphing utility to find a logistic model y =
Round a and c to the nearest whole number and b to 2
1 + ae
decimal places.
f. Use the logistic model from part (e) to predict the number of Ebola cases 8 months after April 1. Round to the nearest
thousand.
Number of Cases](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac4faea6-c20b-4f72-af88-be0556e36feb%2F26c51539-99e6-4200-83af-8bc00799cdeb%2F5jj74r.png&w=3840&q=75)
Transcribed Image Text:During a recent outbreak of Ebola in western Africa, the cumulative number of cases y was reported t months after April 1.
(See Example 7)
Cumulative Ebola Cases
Month
Number (f)
Cumulative
Cases (y)
3000
2400
18
1800
105
1200
230
600
3
438
3
4
6.
4
752
Month Number
1437
2502
a. Use a graphing utility to find a model of the form y = abt. Round a to 1 decimal place and b to 3 decimal places.
b. Write the function from part (a) as an exponential function of the form y = aebt.
c. Use either model to predict the number of Ebola cases 8 months after April 1 if this trend continues. Round to the
nearest thousand.
d. Would it seem reasonable for this trend to continue indefinitely?
e. Use a graphing utility to find a logistic model y =
Round a and c to the nearest whole number and b to 2
1 + ae
decimal places.
f. Use the logistic model from part (e) to predict the number of Ebola cases 8 months after April 1. Round to the nearest
thousand.
Number of Cases
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