An object at a temperature of 136°C is re- moved from a furnace and placed in a room at 17°C. The temperature T of the object is measured each hour h and recorded in the table.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 79E
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An object at a temperature of 136°C is re-
moved from a furnace and placed in a room
at 17°C. The temperature T of the object is
measured each hour h and recorded in the
table.
h 0
T 136° 76.5° | 46.8° 31.9° | 24.4° | 20.7°
A model for this data is
1
2
3
4
T
17 [1+7 (2-h)] .
a) Identify the horizontal asymptote of the
model.
b) How long after the object is removed from
the furnace does it take for the temperature
to reach 112°C?
Answer in units of hour.
Transcribed Image Text:An object at a temperature of 136°C is re- moved from a furnace and placed in a room at 17°C. The temperature T of the object is measured each hour h and recorded in the table. h 0 T 136° 76.5° | 46.8° 31.9° | 24.4° | 20.7° A model for this data is 1 2 3 4 T 17 [1+7 (2-h)] . a) Identify the horizontal asymptote of the model. b) How long after the object is removed from the furnace does it take for the temperature to reach 112°C? Answer in units of hour.
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