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1. As of August 31, 2014, there were approximately 3685 cases of Ebola virus disease in the West African nations of Guinea, Liberia, and Sierra Leone. By October 6, the cumulatve number of cases had grown to 7412. Date Week Total Cases 1-Sep-2014 3685 8-Sep-2014 4238 15-Sep-2014 2 4873 22-Sep-2014 3 5604 29-Sep-2014 6-Oct-2014 4 6445 7412 13-Oct-2014 20-Oct-2014 (a) Explain why a linear function would not be a good model for this set of data. (b) Use the table to answer the following questions. i. By what percent does the number of cases increase between week 0 and week 1? Between week 3 and week 4? ii. Write a sentence describing how the number of cases is growing. iii. Complete the next two lines of the table. iv. Write a formula for C(t), the total number of cases, where t represents the number of weeks after September 1, 2014. v. Use your formula to predict the number of cases on January 5, 2015 (week 18).

1. As of August 31, 2014, there were approximately 3685 cases of Ebola virus disease in the West African nations of Guinea, Liberia, and Sierra Leone. By October 6, the cumulatve number of cases had grown to 7412. Date Week Total Cases 1-Sep-2014 3685 8-Sep-2014 4238 15-Sep-2014 2 4873 22-Sep-2014 3 5604 29-Sep-2014 6-Oct-2014 4 6445 7412 13-Oct-2014 20-Oct-2014 (a) Explain why a linear function would not be a good model for this set of data. (b) Use the table to answer the following questions. i. By what percent does the number of cases increase between week 0 and week 1? Between week 3 and week 4? ii. Write a sentence describing how the number of cases is growing. iii. Complete the next two lines of the table. iv. Write a formula for C(t), the total number of cases, where t represents the number of weeks after September 1, 2014. v. Use your formula to predict the number of cases on January 5, 2015 (week 18).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 6DE
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Exponential Modeling 1. As of August 31, 2014, there were approximately 3685 cases of Ebola virus disease in the West African nations of Guinea, Liberia, and Sierra Leone. By October 6, the cumulatve number of cases had grown to 7412. Date Week Total Cases 1-Sep-2014 3685 8-Sep-2014 1 4238 15-Sep-2014 4873 22-Sep-2014 3 5604 29-Sep-2014 4 6445 6-Oct-2014 5 7412 13-Oct-2014 6 20-Oct-2014 (a) Explain why a linear function would not be a good model for this set of data. (b) Use the table to answer the following questions. i. By what percent does the number of cases increase between week 0 and week 1? Between week 3 and week 4? ii. Write a sentence describing how the number of cases is growing. iii. Complete the next two lines of the table. iv. Write a formula for C(t), the total number of cases, where t represents the number of weeks after September 1, 2014. v. Use your formula to predict the number of cases on January 5, 2015 (week 18). DD DI 20 F9 F8 F7 F5 F6 F4
Transcribed Image Text:Exponential Modeling 1. As of August 31, 2014, there were approximately 3685 cases of Ebola virus disease in the West African nations of Guinea, Liberia, and Sierra Leone. By October 6, the cumulatve number of cases had grown to 7412. Date Week Total Cases 1-Sep-2014 3685 8-Sep-2014 1 4238 15-Sep-2014 4873 22-Sep-2014 3 5604 29-Sep-2014 4 6445 6-Oct-2014 5 7412 13-Oct-2014 6 20-Oct-2014 (a) Explain why a linear function would not be a good model for this set of data. (b) Use the table to answer the following questions. i. By what percent does the number of cases increase between week 0 and week 1? Between week 3 and week 4? ii. Write a sentence describing how the number of cases is growing. iii. Complete the next two lines of the table. iv. Write a formula for C(t), the total number of cases, where t represents the number of weeks after September 1, 2014. v. Use your formula to predict the number of cases on January 5, 2015 (week 18). DD DI 20 F9 F8 F7 F5 F6 F4
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