In the morning, a cup of hot coffee hot coffee is 210 degrees Fahrenheit and the kitchen where the coffee was sitting temperature is 78 degrees Fahrenheit. 1 minute later a sip is taken and the temperature of the coffee at this point is 200 degrees Fahrenheit.  If I like to drink my coffee when it is 170 degrees Fahrenheit, how long must I wait? Please answer in minutes and seconds!

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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In the morning, a cup of hot coffee hot coffee is 210 degrees Fahrenheit and the kitchen where the coffee was sitting temperature is 78 degrees Fahrenheit. 1 minute later a sip is taken and the temperature of the coffee at this point is 200 degrees Fahrenheit. 

If I like to drink my coffee when it is 170 degrees Fahrenheit, how long must I wait? Please answer in minutes and seconds!

Expert Solution
Step 1

Given that a cup of hot coffee is 210 degrees Fahrenheit and the kitchen where the coffee was sitting temperature is 78 degrees Fahrenheit.

Find if the coffee is drink when it is 170 degrees Fahrenheit, how long must wait.

 

 

 

 

 

Newton's law of cooling states that the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.

That is Tt=Ts+T0-Tse-kt

where t is the time, Tt be the temperature of the given body at time tTsbe the surrounding temperature, T0 be the initial temperature of the body and k is the constant.

The other formula used is the following.

lnex=x

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