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A pizza pan is removed at 9 : 00 PM from an oven whose temperature is fixed at 425 degrees Upper F ƒƒ into a room that is a constant 74 degrees F. ƒƒ After 5 minutes, the pizza pan is at 300 degrees F.

(a) At what time is the temperature of the pan 135 degrees F?

1 Answer

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Final answer:

To find the time at which the temperature of the pizza pan is 135 degrees F, we can calculate the rate at which the temperature is decreasing by using the given information. By setting up an equation and solving for the time, we can determine that the temperature will be 135 degrees F at 9:05 PM.

Step-by-step explanation:

To find the time at which the temperature of the pizza pan is 135 degrees F, we need to determine the rate at which the temperature is decreasing. From the given information, we know that after 5 minutes, the temperature of the pan is 300 degrees F. This means that the temperature is decreasing at a rate of (425 - 300) / 5 = 25 degrees F per minute.

To find the time it takes for the temperature to reach 135 degrees F, we can set up an equation:

300 - 25t = 135

Solving for t, we get:

t = (300 - 135) / 25 = 5.4 minutes

Therefore, at 9:05 PM, the temperature of the pizza pan will be 135 degrees F.

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