Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference in temperature between the body and an environment into which it is introduced. The temperature F(t) of the body at time t after being introduced into an environment having a constant temperature T is F(t) = T+ Cbt or F(t) = T+ Cekt where b = ek. A pie is removed from an oven with temperature 380 degrees F. The room temperature is 71 degrees F. After five minutes, the pie temp is 300 degrees F. (a) Write the function describing the temperature at time t. Round k to 5 decimal places.
Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference in temperature between the body and an environment into which it is introduced. The temperature F(t) of the body at time t after being introduced into an environment having a constant temperature T is F(t) = T+ Cbt or F(t) = T+ Cekt where b = ek. A pie is removed from an oven with temperature 380 degrees F. The room temperature is 71 degrees F. After five minutes, the pie temp is 300 degrees F. (a) Write the function describing the temperature at time t. Round k to 5 decimal places.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text:Newton's Law of Cooling says that the rate at which a body
cools is proportional to the difference in temperature between
the body and an environment into which it is introduced. The
temperature F(t) of the body at time t after being introduced
into an environment having a constant temperature T is
F(t) = T+ Cb or F(t) = T+ Cekt where b = ek.
A pie is removed from an oven with temperature 380 degrees
F. The room temperature is 71 degrees F. After five minutes,
the pie temp is 300 degrees F.
(a) Write the function describing the temperature at time t.
Round k to 5 decimal places.
(b) What will the temperature be at 25 minutes? Round your
answer to the nearest degree.
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