In the first six months of the 2014 Ebola outbreak, the total number of reported cases was increasing at a continuous rate of about 72% per month. There were about 100 cases as of April 1, 2014. Find an exponential model in the form C(t)=Ae^rt  for the number of cases "t" months after April 1, 2014, and use it to predict the number of cases as of August 1, 2014. (The actual number of reported cases was 1603 .)

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Asked Dec 12, 2019
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In the first six months of the 2014 Ebola outbreak, the total number of reported cases was increasing at a continuous rate of about 72% per month. There were about 100 cases as of April 1, 2014. Find an exponential model in the form C(t)=Ae^rt  for the number of cases "t" months after April 1, 2014, and use it to predict the number of cases as of August 1, 2014. (The actual number of reported cases was 1603 .)

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There were 100 cases as of April 2014 and it increases continuously at the rate of 72% per...

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C(t) = Ae" Here r = 72% = 0.72 t = 8 – 4 = 4 C(0) = 100, Consider April 1 as t = 0 =100 = Ae' → A = 100 >C(t)=100e0.724

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