A pizza baked at 450 degrees Fahrenheit is removed from the oven at 5:00 pm into a room that is a constant 70 degrees Fahrenheit. After 5 minutes, the pizza is at 300 degrees Fahrenheit.
a. Using Newton's Law of Cooling, write a function T(t) for the temperature of the pizza t minutes after 5:00 pm. Keep at least 5 decimal places in your value of k.
b. What is the equation of the horizontal asymptote of your pizza temperature function, and what does it tell you about the temperature of the pizza? Hint: think of transformations of y when trying to determine the horizontal asymptote.
c. At what time can you begin eating the pizza if you want its temperature to be 120 degrees Fahrenheit?