Exponential Growth and Decay: Quiz
Problem 3
Suppose your practice is to fetch a cup of hot coffee from the coffee shop, carrying it for 5 minutes outside before you reach your favorite bench in the park, where you sit to drink it. The coffee will cool at a rate proportional to the difference between its temperature and the surrounding air temperature.
The coffee cools 6 degrees in the first minute. If the coffee starts at 180 degrees and the air temperature is 65 degrees, what will be its temperature after 5 minutes?