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

question 30

Multiple Choice

Find the exponential model $y = a e ^ { b x }$ that fits the points shown in the table. $$\begin{array} { | c | c | c | } \hline x & 0 & 3 \\\hline y & 6 & 1.5 \\\hline\end{array}$$

• A) \(y = \frac { 1 } { 2 } e ^ { 0.6621 x }\)
• B) \(y = e ^ { - 0.5621 x }\)
• C) \(y = - e ^ { 0.4621 x }\)
• D) \(y = 6 e ^ { - 0.4621 x }\)
• E) \(y = 2 e ^ { 0.4621 x }\)

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