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) = 50 + 145e−0.05t
where t is measured in minutes and T is measured in °F.
(a) What is the initial temperature of the soup?
(b) What is the temperature after 10 min? (Round your answer to one decimal place.)
(c) After how long will the temperature be 100°F? (Round your answer to the nearest whole number.)
