SOLUTION: You are taking a road trip in a car without A/C. The temperture in the car is 92 degrees F. You buy a cold pop at a gas station. Its initial temperature is 45 degrees F. The pop's

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: You are taking a road trip in a car without A/C. The temperture in the car is 92 degrees F. You buy a cold pop at a gas station. Its initial temperature is 45 degrees F. The pop's       Log On


   



Question 1006001: You are taking a road trip in a car without A/C. The temperture in the car is 92 degrees F. You buy a cold pop at a gas station. Its initial temperature is 45 degrees F. The pop's temperature reaches 60 degrees F after 43 minutes.
Given that
\frac{T-A}{T_0 - A} = e^{-kt}
where T = the temperature of the pop at time t.
T_0 = the initial temperature of the pop.
A = the temperature in the car.
k = a constant that corresponds to the warming rate.
and t = the length of time that the pop has been warming up.

How long will it take the pop to reach a temperature of 74.5 degrees F?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Solve for .

Once you know the value of , you can solve:



for .

John

My calculator said it, I believe it, that settles it