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 390 degrees F. The room temperature is 63 degrees F. After five minutes, the pie temp is 330 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 29 minutes? Round your answer to the nearest degree.
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 390 degrees F. The room temperature is 63 degrees F. After five minutes, the pie temp is 330 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 29 minutes? Round your answer to the nearest degree.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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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 390 degrees F. The room temperature is 63 degrees F. After
five minutes, the pie temp is 330 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 29 minutes? Round your answer to the nearest degree.
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