ajr246
Oct29-09, 02:22 AM
1. The problem statement, all variables and given/known data
Suppose that a cup of hot coffee at a temperature of 1850 is set down to cool in a room where the temperature is kept at 700. What is the temperature of the coffee 10 minutes later?
2. Relevant equations
f(t)=(T0 - T1))e-kt + T1
where T0 is the initial temperature of the coffee,
T1 is the temperature of the room,
f(t) is the temperature of the coffee after t minutes,
k is a negative constant
3. The attempt at a solution
I am studying precalculus independently. This problem is from Cohen, Precalculus with Unit-Circle Trigonometry, 4th ed.
The problem statement doesn't seem to give enough data to solve it. I can't figure out how to find k in order to find f(t). Is there a technique I'm not seeing?
I've gotten this far:
f(10)=(185-70)e-k10+70
f(10)=115e-10k+70
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
Suppose that a cup of hot coffee at a temperature of 1850 is set down to cool in a room where the temperature is kept at 700. What is the temperature of the coffee 10 minutes later?
2. Relevant equations
f(t)=(T0 - T1))e-kt + T1
where T0 is the initial temperature of the coffee,
T1 is the temperature of the room,
f(t) is the temperature of the coffee after t minutes,
k is a negative constant
3. The attempt at a solution
I am studying precalculus independently. This problem is from Cohen, Precalculus with Unit-Circle Trigonometry, 4th ed.
The problem statement doesn't seem to give enough data to solve it. I can't figure out how to find k in order to find f(t). Is there a technique I'm not seeing?
I've gotten this far:
f(10)=(185-70)e-k10+70
f(10)=115e-10k+70
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution