6. According to Newton?s Law of Cooling, the rate at which a substance cools in air is directly proportional to the difference between the temperature of the substance and that of air. If the temperature of the air is 30° and the substance cools from 100° to 70° in 15 minutes, approximately, how long will it take to cool 100° to 50°? (a) 33.58 minutes (b) 43.50 minutes (c) 35.39 minutes (d) 45.30 minutes

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 4SE: Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of...
icon
Related questions
Question
16. According to Newton?s Law of Cooling, the rate at which a substance cools in air is
directly proportional to the difference between the temperature of the substance and
that of air. If the temperature of the air is 30° and the substance cools from 100° to 70°
in 15 minutes, approximately, how long will it take to cool 100° to 50°?
(a) 33.58 minutes (b) 43.50 minutes (c) 35.39 minutes (d) 45.30 minutes
Transcribed Image Text:16. According to Newton?s Law of Cooling, the rate at which a substance cools in air is directly proportional to the difference between the temperature of the substance and that of air. If the temperature of the air is 30° and the substance cools from 100° to 70° in 15 minutes, approximately, how long will it take to cool 100° to 50°? (a) 33.58 minutes (b) 43.50 minutes (c) 35.39 minutes (d) 45.30 minutes
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage