where t is the time since it was removed from the oven, measured in minutes. ke, in degrees Fahrenheit, after it is removed from the oven is C(t) = 70 + 110ekt, 5) Determine the temperature of the cake when it was pulled out of the oven. Use mathematics to justify your answer. CGD=10+ 110 e-kt [1] 1ut + 14=0 Cco) = 70thlee (close = 70+ lloc -70+110x1 6) If the cake is 160 F at t = 3 minutes, determine the value of the constant k. Give your answer correct to three decimal places. ects = 160 and + = 3 160=70+110e -the Nee = 160-70 90 Ne K= -1 xInc3> 14=0.067 [3] 7) Determine the perfect time, to the nearest minute, to eat the cake, if the perfect temperature for eating the cake is 99 F. Use mathematics to justify your answer. [3]