Question

You are asked to find the value of a certain number associated with the logistic function shown below. f(x) = \frac{L}{1 + Ae^{-Bt}} The B value is 0.6 per year. What percentage growth rate would the population show in the absence of constraints? (Round your answer to the nearest whole number.) %

          You are asked to find the value of a certain number associated with the logistic function shown below.
f(x) = \frac{L}{1 + Ae^{-Bt}}
The B value is 0.6 per year. What percentage growth rate would the population show in the absence of constraints? (Round your answer to the nearest whole number.)
%
        
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You are asked to find the value of a certain number associated with the logistic function shown below.
f(x) = (L)/(1 + Ae^-Bt)
The B value is 0.6 per year. What percentage growth rate would the population show in the absence of constraints? (Round your answer to the nearest whole number.)
%

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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You are asked to find the value of a certain number associated with the logistic function shown below f(x)= 1+Ae-Bt The B value is 0.6 per year. What percentage growth rate would the population show in the absence of constraints? (Round your answer to the nearest whole number.)
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Transcript

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00:01 We are given the formula, population at time t is 3 .194 divided by 1 plus 14 .589 times e to the negative 0 .052 t.
00:20 To model the population of la and in millions where t is years since 1900.
00:52 So in the first part we want to evaluate p0.
00:59 Well that's equal to 3 .194 over 1 plus 14 .589 times e to the negative 0 .052 times 0 is 0.
01:14 So this is e to the 0 and e to the 0 is 1 so we just get 1 plus 14 .589 and that makes this 0 .204888 million because p0 is in million.
01:41 So the population of los angeles in 1900 was 204 ,888 people or if you wanted in millions it was 0 .2 million which is what we got from our formula...
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