Answer:
The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.
Step-by-step explanation:
The formula for D, the difference in temperature between the pan and the room after t minutes is:
[tex]D = 324\cdot e^{-0.05t}[/tex]
Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:
[tex]D = 324\cdot e^{-0.05t}[/tex]
  [tex]=324\times e^{-0.05\times 9}\\\\=206.59[/tex]
Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:
D = P - R
206.59 = P - 69
P = 206.59 + 69
P = 275.59°F
Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.
