A cup of hot coffee has been left to cool in a room with an ambient temperature of 21^\circ{\text{C}}21 ∘
C21, degrees, start text, C, end text.
The relationship between the elapsed time, mmm, in minutes, since the coffee was left to cool, and the temperature of the coffee, TTT, measured in ^\circ C
∘
Cdegrees, C, is modeled by the following function.
T(m)=21+74 \cdot 10^{-0.03m}T(m)=21+74⋅10
−0.03m
T, left parenthesis, m, right parenthesis, equals, 21, plus, 74, dot, 10, start superscript, minus, 0, point, 03, m, end superscript
What will the temperature of the coffee be after 101010 minutes?
Round your answer, if necessary, to the nearest hundredth.
^\circ C
∘
C