A freshly brewed cup of coffee is set on the counter and has a temperature of 200° Fahrenheit. After 3 minutes, it has cooled to 190°, but is still too hot to drink. If the room is 72° and the coffee cools according to Newton's Law of Cooling, how long will the impatient coffee drinker have to wait until the coffee has cooled to 165°?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A freshly brewed cup of coffee is set on the counter and has a temperature of 200° Fahrenheit.
After 3 minutes, it has cooled to 190°, but is still too hot to drink. If the room is 72° and the
coffee cools according to Newton's Law of Cooling, how long will the impatient coffee drinker
have to wait until the coffee has cooled to 165°?
Transcribed Image Text:A freshly brewed cup of coffee is set on the counter and has a temperature of 200° Fahrenheit. After 3 minutes, it has cooled to 190°, but is still too hot to drink. If the room is 72° and the coffee cools according to Newton's Law of Cooling, how long will the impatient coffee drinker have to wait until the coffee has cooled to 165°?
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