Question

A pan is heated to 409°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 71°F. The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes. D = 338e^-0.03t What is the approximate temperature of the pan after it has been away from the heat for 8 minutes? A. 336.9°F B. 500.7°F C. 265.9°F D. 194.9°F

Answer 1

Answer: C.
`265.9^(\circ)F`

Explanation:

Given: The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes.

`D = 338e^(-0.03t)`

At t= 8 minutes, we get

`D = 338e^(-0.03(8))\\\\\Rightarrow\ D = 338e^(-0.24)\\\\\Rightarrow\ D = 338(0.786627861067)\\\\\Rightarrow\ D = 265.88\approx265.9^(\circ)F`

The approximate temperature of the pan after it has been away from the heat for 8 minutes=
`265.9^(\circ)F`