2. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the difference between the temperatures of the hot body and the environment. If the room temperature is 30° Celsius and the temperature of a hot body in the room cools down to 50° from 100° Celsius in just 5 minutes, then how many more minutes will it take to cool down to 40°?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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2. According to Newton's cooling law, the rate of cooling of a hot body is pro-
portional to the difference between the temperatures of the hot body and the
environment. If the room temperature is 30° Celsius and the temperature of
a hot body in the room cools down to 50° from 100° Celsius in just 5 minutes,
then how many more minutes will it take to cool down to 40°?
Transcribed Image Text:2. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the difference between the temperatures of the hot body and the environment. If the room temperature is 30° Celsius and the temperature of a hot body in the room cools down to 50° from 100° Celsius in just 5 minutes, then how many more minutes will it take to cool down to 40°?
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