$\text { The rate of change in sales } S \text { is inversely proportional to time } t ( t > 1 ) \text { measured in }$

$\text { The rate of change in sales } S \text { is inversely proportional to time } t ( t > 1 ) \text { measured in }$ weeks. Find $S$ as a function of $t$ if sales after 2 and 4 weeks are 200 units and 350 units respectively.

A) $S ( t ) = 50 \left[ \frac { 11 \ln t } { \ln 2 } + 1 \right]$
B) $S ( t ) = 550 \left[ \frac { \ln t } { \ln 3 } + 1 \right]$
C) $S ( t ) = 550 \left[ \frac { \ln t } { \ln 3 } + 150 \right]$
D) $S ( t ) = 50 \left[ \frac { 3 \ln t } { \ln 2 } + 1 \right]$
E) $S ( t ) = 50 \left[ \frac { 3 \ln t } { \ln 2 } + 11 \right]$