A cake is baked in an oven heated to 180 C. The cake mixture is at 15 C when put in the oven. As the cake temperature increases, the rate at which the temperature changes decreases. A differential equation models the cake temperature h(t): dh dt I. II. = 110-h(t) 500 Temperature h is in C, and time t is in seconds. Write a formula for the temperature of the cake h(t). The cake cant reach 180 C. When removed from the oven after 30 minutes, what temperature will the cake be?