Cools, its temperature T (x) in degrees celsius is givien by the following function, where x is the number of minute since the can was placed in the cooler

degrees-celsius
intial-temperature

#1

cools, its temperature T (x) in degrees celsius is givien by the following function, where x is the number of minute since the can was placed in the cooler.

T(x)=-6+24e^-0.038x

Find the intial temperature of the soda and its temperature after 20 mintues. Round your answers to the nearest degrees as necessary.

Initial temperature:___ celsius.
Temperature after 20 minutes:__celsius.

Answer:

T(x) = -6 + 24e^-.038x

Initial temperature would be zero minutes, anything multiplied by zero becomes zero and anything raised to the zero power is one
T(0) = -6 +24(1)
T(0) = -6 + 24 = 18
Initial temperature is 18 celcius

T(20) = -6 +24e^(-.038(20))
T(20) = -6 +24e^-.76

equals about 5.223994248 degrees celcius