# Find Change In Temperature According To Newtonâ€™s Law Of Cooling

Question

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

Summary

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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