A Curve Passes Through the Point $( 8,2 )$ And Has the Property That the Slope of the Curve

A curve passes through the point $( 8,2 )$ and has the property that the slope of the curve at every point P is $3$ times the y-coordinate P. What is the equation of the curve?

A) $y = 2 e ^ { 3 x + 24 }$
B) $y = \frac { e ^ { 3 x - 24 } } { 2 }$
C) $y = 2 e ^ { 3 x - 8 }$
D) $y = 2 e ^ { 3 x - 24 }$
E) $y = 2 e ^ { x - 24 }$

Correct Answer:

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