22) Sandy manages a ceramics shop and uses a 650°F kiln to fire ceramic greenware. After turning off her kiln, she must wait until its temperature gauge reaches 160°F before opening it and removing the ceramic pieces. If room temperature is 80°F and the gauge reads 500°F in 11 minutes, how long must she wait before opening the kiln? Assume the kiln cools according to Newton's Law of Cooling: U =T+ (Uo - - T)ekt. (Round your answer to the nearest whole minute.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

Sandy manages a ceramics shop and uses a 650°F kiln to fire ceramic greenware. After turning off her kiln, she must wait until its temperature gauge reaches 160°F before opening it and removing the ceramic pieces. If room temperature is 80°F and the gauge reads 500°F in 11 minutes, how long must she wait before opening the kiln? Assume the kiln cools according to Newton's Law of Cooling:

\[ U = T + (U_0 - T)e^{kt} \]

(Round your answer to the nearest whole minute.)
Transcribed Image Text:**Problem Statement:** Sandy manages a ceramics shop and uses a 650°F kiln to fire ceramic greenware. After turning off her kiln, she must wait until its temperature gauge reaches 160°F before opening it and removing the ceramic pieces. If room temperature is 80°F and the gauge reads 500°F in 11 minutes, how long must she wait before opening the kiln? Assume the kiln cools according to Newton's Law of Cooling: \[ U = T + (U_0 - T)e^{kt} \] (Round your answer to the nearest whole minute.)
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