A Frozen Chicken At $32 ^ { \circ } \mathrm { F }$

A frozen chicken at $32 ^ { \circ } \mathrm { F }$ is taken out of the freezer and placed on a table at $70 ^ { \circ } \mathrm { F }$ . One hour later the temperature of the chicken is $55 ^ { \circ } \mathrm { F }$ . The mathematical model for the temperature $T ( t )$ as a function of time $t$ is (assuming Newton 's law of warming)

A) $\frac { d T } { d t } = k T , T ( 0 ) = 32 , T ( 1 ) = 55$
B) $\frac { d T } { d t } = k ( T - 70 ) , T ( 0 ) = 32 , T ( 1 ) = 55$
C) $\frac { d T } { d t } = ( T - 70 ) , T ( 0 ) = 32 , T ( 1 ) = 55$
D) $\frac { d T } { d t } = T , T ( 0 ) = 32 , T ( 1 ) = 55$
E) $\frac { d T } { d t } = k ( T - 55 ) , T ( 0 ) = 32 , T ( 1 ) = 55$