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Lemur [1.5K]
3 years ago
14

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 7

1°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
Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer: C. 265.9^{\circ}F

Step-by-step 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

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