Question

A pizza pan is removed at 6 : 00 PM from an oven whose temperature is fixed at 425 degrees F into a room that is a constant 72 degrees F. After 5 minutes, the pizza pan is at 300 degrees F. (a) At what time is the temperature of the pan 135 degrees F?(b) Determine the time that needs to elapse before the pan is 220 degrees . (c) What do you notice about the temperature as time passes?

Name: a pizza pan is removed at 6 00 pm from an oven whose temperature is fixed at 425 degrees f into a room that is a constant 72 degrees f after 5 minutes the pizza pan is at 300 degrees f a at 00501
Uploaded: 2022-04-23T00:25:50-08:00
Duration: 2 min 15 s
Channel: Chapman Howard
Description: a pizza pan is removed at 6 00 pm from an oven whose temperature is fixed at 425 degrees f into a room that is a constant 72 degrees f after 5 minutes the pizza pan is at 300 degrees f a at 00501

          A pizza pan is removed at 6 : 00 PM from an oven whose
temperature is fixed at 425 degrees F into a room that is a
constant 72 degrees F. After 5 minutes, the pizza pan is at 300
degrees F. (a) At what time is the temperature of the pan 135
degrees F?(b) Determine the time that needs to elapse before the
pan is 220 degrees . (c) What do you notice about the temperature
as time passes?

Added by Kevin W.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Chapman Howard

04/23/2022

Step 1

Given: Initial temperature (T0) = 425 degrees F Temperature after 5 minutes (T) = 300 degrees F Using the formula T = T0 * e^(-Kt), we can plug in the values and solve for K: 300 = 425 * e^(-K * 5) e^(-5K) = 300/425 e^(-5K) = 0.705882353 -5K = ln(0.705882353) K = Show more…

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A pizza pan is removed at 6 : 00 PM from an oven whose temperature is fixed at 425 degrees F into a room that is a constant 72 degrees F. After 5 minutes, the pizza pan is at 300 degrees F. (a) At what time is the temperature of the pan 135 degrees F?(b) Determine the time that needs to elapse before the pan is 220 degrees . (c) What do you notice about the temperature as time passes?