A Frozen Chicken At $0 ^ { \circ } \mathrm { C }$

Multiple Choice

A frozen chicken at $0 ^ { \circ } \mathrm { C }$ is taken out of the freezer and placed on a table at $20 ^ { \circ } \mathrm { C }$ . One hour later the temperature of the chicken is $18 ^ { \circ } \mathrm { C }$ . The mathematical model for the temperature $T ( t )$ as a function of time $t$ is (assuming Newton's law of warming)

A) $\frac { d T } { d t } = k T , T ( 0 ) = 0 , T ( 1 ) = 18$
B) $\frac { d T } { d t } = k ( T - 20 ) , T ( 0 ) = 0 , T ( 1 ) = 18$
C) $\frac { d T } { d t } = ( T - 20 ) , T ( 0 ) = 0 , T ( 1 ) = 18$
D) $\frac { d T } { d t } = T , T ( 0 ) = 0 , T ( 1 ) = 18$
E) $\frac { d T } { d t } = k ( T - 18 ) , T ( 0 ) = 0 , T ( 1 ) = 18$