Newton's Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. Suppose that a pizza is removed from a 600°F oven and placed in a room whose temperature is 60°F. The temperature u (in °F) of the pizza at time t (in minutes) can be modeled by u(t)=60+540e-0.073t (a) According to the model, when will the temperature of the pizza be 500°F? (b) According to the model, when will the temperature of the pizza be 310°F? www (a) t = minutes (Do not round until the final answer. Then round to the nearest minute as needed.) w an example Textbook Clear all

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Newton's Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the
temperature of the surrounding medium. Suppose that a pizza is removed from a 600°F oven and placed in a room
whose temperature is 60°F. The temperature u (in °F) of the pizza at time t (in minutes) can be modeled by
u(t)=60+540g-0.073t
(a) According to the model, when will the temperature of the pizza be 500°F?
(b) According to the model, when will the temperature of the pizza be 310°F?
(a) t= minutes
(Do not round until the final answer. Then round to the nearest minute as needed.)
w an example Textbook
Clear all
Transcribed Image Text:Newton's Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. Suppose that a pizza is removed from a 600°F oven and placed in a room whose temperature is 60°F. The temperature u (in °F) of the pizza at time t (in minutes) can be modeled by u(t)=60+540g-0.073t (a) According to the model, when will the temperature of the pizza be 500°F? (b) According to the model, when will the temperature of the pizza be 310°F? (a) t= minutes (Do not round until the final answer. Then round to the nearest minute as needed.) w an example Textbook Clear all
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