A baked cake is taken out of a 375°F oven and placed on a table in a 72°F room. It cools according to Newton's Law. Ten minutes later the temperature is 345°F. d=k(T-A) T(t) = A +cekt a) Find the complete model T(t). b) What is the reading of the thermometer after 30 minutes? (Round your answer to the tenths place and use correct units.) c) How long does it take for the cake to cool to 100°F? (Round your answer to the tenths place and use correct units.)
A baked cake is taken out of a 375°F oven and placed on a table in a 72°F room. It cools according to Newton's Law. Ten minutes later the temperature is 345°F. d=k(T-A) T(t) = A +cekt a) Find the complete model T(t). b) What is the reading of the thermometer after 30 minutes? (Round your answer to the tenths place and use correct units.) c) How long does it take for the cake to cool to 100°F? (Round your answer to the tenths place and use correct units.)
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...
Related questions
Question
Transcribed Image Text:A baked cake is taken out of a 375°F oven and placed on a table in a
72°F room. It cools according to Newton's Law. Ten minutes later
the temperature is 345°F.
d=k(T-A)
dt
T(t) = A + cekt
a) Find the complete model T(t).
b) What is the reading of the thermometer after 30 minutes?
(Round your answer to the tenths place and use correct units.)
c) How long does it take for the cake to cool to 100°F?
(Round your answer to the tenths place and use correct units.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Recommended textbooks for you