SOLUTION: Hello, I don't know how to solve this problem: A cup of coffee which is initially at a temperature of 154 degrees Fahrenheit is placed in a room which is at a constant tempe

Question 929060: Hello,
I don't know how to solve this problem:
A cup of coffee which is initially at a temperature of 154 degrees Fahrenheit is placed in a room which is at a constant temperature of 71 degrees. In 10 minutes, the coffee has cooled to 133 degrees. Find the Newton's Law of Cooling formula that models the coffee's temperature in t minutes. Determine to the nearest minute how long it will take the coffee to cool to a temperature of 100 degrees Fahrenheit.
Thank you in advance,
Ryan M.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First off, find Newton's law of cooling,

Use the two data points given to find .
At ,
At ,,

.
.
.
So now find when ,
Then,

To the nearest minute,

RELATED QUESTIONS
I don't know how to do this, please!! Newton's Law of Cooling tells us that the rate... (answered by ewatrrr,htmentor)

Suppose that a cup of hot coffee at a temperature of T0 is set down to cool in a room... (answered by advanced_Learner)

I would appreciate any help that can be offered on this problem: EXPONENTIAL... (answered by solver91311)

A bottle of juice initially has a temperature of 70 degrees Fahrenheit. It is left to... (answered by Alan3354,josgarithmetic)

I could really use some help on this please! EXPONENTIAL REGRESSION Data: A cup of... (answered by solver91311)

A cup of coffee is heated to 160 degrees Fahrenheit and placed in a room that maintains a (answered by solver91311)

Coffee is best enjoyed at a temperature of 121� F. A restaurant owner wants to discover... (answered by josmiceli)

Oh why are Newton's Law of Cooling problems so confusing to me anyways here is another... (answered by richwmiller)

A hot cup of coffee is left outside where it cools exponentially. The temperature, T, of... (answered by stanbon)