Determine the Percentage Rate of Change of F(x) = $e ^ { 0.9 x }$

Multiple Choice

Determine the percentage rate of change of f(x) = $e ^ { 0.9 x }$ at x = 15 and x = 30.

A) $\frac { f ^ { \prime } ( 15 ) } { f ( 15 ) }$ = 22%, $\frac { f ^ { \prime } ( 30 ) } { f ( 30 ) }$ = 5%
B) $\frac { f ^ { \prime } ( 15 ) } { f ( 15 ) }$ = 90%, $\frac { f ^ { \prime } ( 30 ) } { f ( 30 ) }$ = 90%
C) $\frac { f ^ { \prime } ( 15 ) } { f ( 15 ) }$ = 38%, $\frac { f ^ { \prime } ( 30 ) } { f ( 30 ) }$ = 14%
D) $\frac { f ^ { \prime } ( 15 ) } { f ( 15 ) }$ = 17%, $\frac { f ^ { \prime } ( 30 ) } { f ( 30 ) }$ = 29%