Problem:
A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling so that its temperature at time t is given by
T(t) = 61+ 149e-0.05t
where t is measured in minutes and T is measured in °F.
(a) What is the initial temperature of the soup? Please round the answer to the nearest integer.
______ °F
(b) What is the temperature after 15 min? Please round the answer to the nearest integer.
_____ °F
(c) After how long will the temperature be 100°F? Please round the answer to the nearest integer.
_____minutes
Additional Information:
This problem belongs to Mathematics and it is about finding the changing temperature according to Newton's Law of Cooling.