Newton's law of cooling states that the temperature of an objectchanges at a rate proportional to the difference between itstemperature and that of its surroundings. Suppose that thetemperature of a cup of coffee obeys Newton's law of cooling. Ifthe coffee has a temperature of 205 degrees Fahrenheit when freshlypoured, and 1 minutes later has cooled to 190 degrees in a room at64 degrees, determine when the coffee reaches a temperature of 150degrees.
The coffee will reach a temperature of 150 degrees in how manyminutes?