1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the temperature is 15°F. At 9:05PM., the thermometer reading is 45°F. At 9:10PM., the thermometer is taken back indoors where the temperature is fixed at 70°F. Find (a) the reading at 9:20PM. and (b) when the reading, to the nearest degree, will show the correct (70°F) indoor temperature.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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1. Newton's Law of Cooling:
At 9:00PM., a thermometer reading 70°F is taken outdoors where the temperature is 15°F.
At 9:05PM., the thermometer reading is 45°F. At 9:10PM., the thermometer is taken back
indoors where the temperature is fixed at 70°F. Find (a) the reading at 9:20PM. and (b) when the
reading, to the nearest degree, will show the correct (70°F) indoor temperature.
Transcribed Image Text:1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the temperature is 15°F. At 9:05PM., the thermometer reading is 45°F. At 9:10PM., the thermometer is taken back indoors where the temperature is fixed at 70°F. Find (a) the reading at 9:20PM. and (b) when the reading, to the nearest degree, will show the correct (70°F) indoor temperature.
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