Question

A pan is heated to 393°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 69°F. The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes. D = 324e-0.05t What is the approximate temperature of the pan after it has been away from the heat for 9 minutes?

Answer 1

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:

$D = 324\cdot e^{-0.05t}$

Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:

$D = 324\cdot e^{-0.05t}$

    $=324\times e^{-0.05\times 9}\\\\=206.59$

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.