Problema Solution
A pan is heated to 360F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 75F. The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes. D=285e^-0.06t
Answer provided by our tutors
we assume the question is asking how much time it takes for the pan to cool from 360F to 75F
we assume 'e' is the exponential constant approximated by 2.718
we assume "e^-0.06t" is equivalent to "e^(-0.06t)"
360-75 = 285
285 = 285e^(-0.06t)
1 = e^(-0.06t)
...but this results in t=0
so we now assume that "e^-0.06t" is equivalent to "e^(-0.06)t"
285 = 285e^(-0.06)t
solving for 't' we have t=1.06
we now assume that 't' is in units of hours and state that it will take approximately 1.06 hours for the pan to cool from 360F to 75F