You are taking a road trip in a car without A/C. The temperture in the car is 90 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 31 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 72.5 degrees F?
It will take minutes.