Answer:
Initial temperature = 20° C
Temperature after 18 minutes = 4° C
Step-by-step explanation:
Function representing the relation in the temperature of the soda and time has been given as,
T(x) = [tex]-8+28e^{-0.045x}[/tex]
Here x = number of minutes since the can was placed in the cooler
For initial temperature of the soda,
x = 0,
T(0) = [tex]-8+28e^{(28\times 0)}[/tex]
= -8 + 28(1)
= 20° C
For the temperature after 18 minutes,
x = 18,
T(18) = [tex]-8+28.e^{-0.045\times 18}[/tex]
= [tex]-8+28.e^{(-0.81)}[/tex]
= [tex]-8+12.456[/tex]
= 4.456 C
≈ 4° C
