Find Change In Temperature According To Newton’s Law Of Cooling


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.


The question belongs to Mathematics and it is about finding the changing temperature according to Newton’s Law of Cooling.

Total Word Count 39

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