A cup of coffee cools at rate proportional to the difference between the constant room temperature of 20.0°C and the temperature of the coffee. If the cooling rate is determined to be 2.3% per minute and the current temperature of the coffee is 75.6°C, in how many minutes will the coffee cool to 52.0°C?
A cup of coffee cools at rate proportional to the difference between the constant room temperature of 20.0°C and the temperature of the coffee. If the cooling rate is determined to be 2.3% per minute and the current temperature of the coffee is 75.6°C, in how many minutes will the coffee cool to 52.0°C?
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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Transcribed Image Text:A cup of coffee cools at rate proportional to the difference between the constant room
temperature of 2o.0°C and the temperature of the coffee. If the cooling rate is
determined to be 2.3% per minute and the current temperature of the coffee is
75.6°C, in how many minutes will the coffee cool to 52.0°C?
The equation that represents the temperature is y(t)
The exact answer is
The rounded answer is
Give 3 decimal places.
The units for the answer is
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