3) An oven is preheated and then remains at a constant temperature. A potato is placed in the oven to bake. Suppose that the temperature T (In °F) of the potato t minutes later is given by T = 400-325 (0.97). The potato will be considered done when its temperature is between 260 and 280 degrees. a) During what interval of time would the potato be done? Expurents/Algor T = 400-325 (0.97) t (1)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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3) An oven is preheated and then remains at a constant temperature.
A potato is placed in the oven to bake. Suppose that the temperature T (In °F) of
the potato t minutes later is given by T = 400-325 (0.97). The potato will be
considered done when its temperature is between 260 and 280 degrees.
a) During what interval of time would the potato be done? exponents/Algorias
T = 400-325 (0.97) t
(1)
7(0) = 400-325 (0.97)⁰ = 75
b) Based on this equation, what is the initial temperature of the potato?
What temperture do you believe the oven is set at?
c) Bonus: Explains Newton's law of cooling/heating
Transcribed Image Text:3) An oven is preheated and then remains at a constant temperature. A potato is placed in the oven to bake. Suppose that the temperature T (In °F) of the potato t minutes later is given by T = 400-325 (0.97). The potato will be considered done when its temperature is between 260 and 280 degrees. a) During what interval of time would the potato be done? exponents/Algorias T = 400-325 (0.97) t (1) 7(0) = 400-325 (0.97)⁰ = 75 b) Based on this equation, what is the initial temperature of the potato? What temperture do you believe the oven is set at? c) Bonus: Explains Newton's law of cooling/heating
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