Find the Logistic Function That Satisfies the Given Conditions $= 12$

Multiple Choice

Find the logistic function that satisfies the given conditions.
-Initial value $= 12$ , limit to growth $= 36$ , passing through $( 1,24 )$

A) $f ( x ) = \frac { 36 } { 1 + 2 ( 1 / 2 ) ^ { x } }$
B) $f ( x ) = \frac { 12 } { 1 + 3 ( 1 / 4 ) ^ { x } }$
C) $f(x) =\frac{12}{1+2(1 / 2) ^{x}}$
D) $f ( x ) = \frac { 36 } { 1 + 2 ( 1 / 4 ) ^ { x } }$