A hot object is placed in a room whose temperature is 69°F. After 1 minute the temperature of the object is 150°F and its rate of change of temperature is 27°F per minute. Find the initial temperature of the object and the rate at which the temperature is changing after 5 minutes.

The base of a triangle increases at a rate of 3 cm per minute while the height of the triangle decreases at a rate of 2 cm per minute. At what rate is the area of the triangle changing with respect to time when the height is 10 cm and the base is 15 cm? Be sure to write units for your answer.