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

question 16

Multiple Choice

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) \(y = 2 e ^ { x - 24 }\)