Find the Exponential Model $y = a e ^ { b x }$

question 108

Multiple Choice

Find the exponential model $y = a e ^ { b x }$ that fits the points shown in the table below. Round parameters to the nearest thousandth.
$\begin{array}{|l|l|l|}\hline x & -2 & 0 \\\hline y & 48 & 3 \\\hline\end{array}$

• A) \(y = 3 e ^ { - 1.386 x }\)
• B) \(y = - 1.386 e ^ { - 3 x }\)
• C) \(y = - 3 e ^ { 1.386 x }\)
• D) \(y = 3 e ^ { 1.386 x }\)
• E) \(y = - 1.386 e ^ { 3 x }\)

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