In the previous problem, the solution for the temperature is
A) $T ( t ) = 70 - 38 e ^ { - .930 t }$
B) $T ( t ) = 70 - 38 e ^ { .930 t }$
C) $T ( t ) = 55 - 32 e ^ { - .930 t }$
D) $T ( t ) = 55 - 32 e ^ { .930 t }$
E) $T ( t ) = 55 e ^ { - .930 t }$

Question

Quizplus · Accepted Answer

The correct solution for the temperature is $T(t) = 70 - 38e^{-0.930t}$. This form matches the general solution for a first-order linear differential equation representing a process of approaching an equilibrium temperature (70 degrees in this case) from an initial condition, with the exponential term representing the rate of change over time (t). The negative exponent indicates that the temperature difference decreases over time, approaching the equilibrium temperature.

In the Previous Problem, the Solution for the Temperature Is T(t)=70−38e−.930tT ( t ) = 70 - 38 e ^ { - .930 t }T(t)=70−38e−.930t

In the Previous Problem, the Solution for the Temperature Is $T ( t ) = 70 - 38 e ^ { - .930 t }$