An object cools at a rate (in ${ } ^ { \circ } \mathrm { C } / \mathrm { min }$ ) equal to $\frac { 1 } { 10 }$ of the difference between its temperature and that of the surrounding air. If a room is kept at 20 $^\circ$ C and the temperature of the object is 28 $^\circ$ C, what is the temperature of the object 5 minutes later?
A)22
B)24
C) $20 + 5 e ^ { - 1 / 10 }$
D) $20 + 8 e ^ { - 1 / 2 }$
E) $20 + 5 e ^ { - 4 / 5 }$
F) $20 + 8 e ^ { - 1 / 10 }$
G) $28 - 8 e ^ { - 1 / 10 }$
H) $28 - 10 e ^ { - 1 / 2 }$

Question

An object cools at a rate (in ${ } ^ { \circ } \mathrm { C } / \mathrm { min }$ ) equal to $\frac { 1 } { 10 }$ of the difference between its temperature and that of the surrounding air. If a room is kept at 20 $^\circ$ C and the temperature of the object is 28 $^\circ$ C, what is the temperature of the object 5 minutes later?
A)22
B)24
C) $20 + 5 e ^ { - 1 / 10 }$ 
D) $20 + 8 e ^ { - 1 / 2 }$ 
E) $20 + 5 e ^ { - 4 / 5 }$ 
F) $20 + 8 e ^ { - 1 / 10 }$ 
G) $28 - 8 e ^ { - 1 / 10 }$
H) $28 - 10 e ^ { - 1 / 2 }$

Quizplus · Accepted Answer

The Answer of An object cools at a rate (in ${ } ^ { \circ } \mathrm { C } / \mathrm { min }$ ) equal to $\frac { 1 } { 10 }$ of the difference between its temperature and that of the surrounding air. If a room is kept at 20 $^\circ$ C and the temperature of the object is 28 $^\circ$ C, what is the temperature of the object 5 minutes later?
A)22
B)24
C) $20 + 5 e ^ { - 1 / 10 }$ 
D) $20 + 8 e ^ { - 1 / 2 }$ 
E) $20 + 5 e ^ { - 4 / 5 }$ 
F) $20 + 8 e ^ { - 1 / 10 }$ 
G) $28 - 8 e ^ { - 1 / 10 }$
H) $28 - 10 e ^ { - 1 / 2 }$

An Object Cools at a Rate (In ∘C/min{ } ^ { \circ } \mathrm { C } / \mathrm { min }∘C/min

An Object Cools at a Rate (In ${ } ^ { \circ } \mathrm { C } / \mathrm { min }$