Answer:
210°F
110 minutes
Step-by-step explanation:
Given that :
Temperature of cake t minutes after being removed from oven :
f(x)=70+140e^-0.024t
Temperature T the timee it is removed ;
At this point, the time t = 0
f(t)=70+140e^-0.024t
f(x)=70+140e^-0.024(0)
= 70 + 140(1)
= 210°F
how long will it take for the cake to reach a temperature of 80oF
80 = 70+140e^-0.024t
80 - 70 = 140*e^-0.024t
10/140 = e^-0.024t
0.0714285 = e^-0.024t
In(0.0714285) = - 0.024t
−2.639057 = - 0.024t
t = 2.639057 / 0.024
t = 109.9607
t = 110 minutes
