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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
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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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
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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