Problem

The logistic model $P(t)=\frac{54.8734}{1+13.0962 e^{-1.5899 t}}$ represents the percentage of households that own a tablet computer t years since 2010. Complete parts (a) through (d). (a) Evaluate and interpret $P(0)$ \[ P(0)=\square \% \] (Round to one decimal place as needed.)

Solution

Step 1 :Substitute \(t=0\) into the logistic model equation to find the percentage of households that owned a tablet computer in the year 2010.

Step 2 :\(P(0)=\frac{54.8734}{1+13.0962 e^{-1.5899 \times 0}}\)

Step 3 :Calculate the above expression to get \(P(0) = 3.8927796143641547\)

Step 4 :Round to one decimal place to get the final answer: \(P(0)=\boxed{3.9} \%\)

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Source: https://solvelyapp.com/problems/42493/

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