Problem

Use the logistic growth model $f(x)=\frac{170}{1+8 e^{-2 x}}$
Find $f(0)$. Round to the nearest tenth.

Answer

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Answer

Final Answer: \(\boxed{18.9}\)

Steps

Step 1 :The logistic growth model is given by \(f(x)=\frac{170}{1+8 e^{-2 x}}\).

Step 2 :To find \(f(0)\), we simply need to substitute \(x=0\) into the equation and calculate the result.

Step 3 :After calculating the value of \(f(0)\), we find that it is approximately 18.9 when rounded to the nearest tenth.

Step 4 :Final Answer: \(\boxed{18.9}\)

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