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

Multiple Choice

Find the exponential model $y = a e ^ { b x }$ that fits the points shown in the table. $$\begin{array} { | l | l | l | } \hline x & 0 & 4 \\\hline y & 5 & 1 \\\hline\end{array}$$

A) $y = 5 e ^ { - 0.4024 x }$
B) $y = 5 e ^ { 0.5024 x }$
C) $y = - \frac { 1 } { 5 } e ^ { 0.4024 x }$
D) $y = \frac { 1 } { 5 } e ^ { - 0.6024 x }$
E) $y = - \frac { 1 } { 5 } e ^ { - 0.4024 x }$