An object cools according to dTdt=−0.05(T−25)\frac{dT}{dt} = -0.05(T - 25)dtdT=−0.05(T−25). If T(0)=100T(0) = 100T(0)=100, what is T(t)T(t)T(t)?
T(t)=25+75e−0.05tT(t) = 25 + 75e^{-0.05t}T(t)=25+75e−0.05t
T(t)=100e−0.05tT(t) = 100e^{-0.05t}T(t)=100e−0.05t
T(t)=75+25e−0.05tT(t) = 75 + 25e^{-0.05t}T(t)=75+25e−0.05t
T(t)=25−75e−0.05tT(t) = 25 - 75e^{-0.05t}T(t)=25−75e−0.05t