In the previous two problems, the solution for the temperature is
A) $T ( t ) = 20 - 20 e ^ { - 230 t }$
B) $T ( t ) = 20 - 20 e ^ { 230 t }$
C) $T ( t ) = 18 - 18 e ^ { - 230 t }$
D) $T ( t ) = 18 - 18 e ^ { 230 t }$
E) $T ( t ) = 18 e ^ { - 230 t }$

Question

Quizplus · Accepted Answer

The correct solution is $T ( t ) = 20 - 20 e ^ { - 230 t }$ because it represents a temperature that approaches 20 degrees over time, starting from a lower temperature. The negative exponent in the exponential function indicates a decay towards the target temperature, which is a common form for solutions to differential equations modeling cooling or heating processes.

In the Previous Two Problems, the Solution for the Temperature T(t)=20−20e−230tT ( t ) = 20 - 20 e ^ { - 230 t }T(t)=20−20e−230t

In the Previous Two Problems, the Solution for the Temperature $T ( t ) = 20 - 20 e ^ { - 230 t }$