Fifteen minutes after a furnace is turned on, the temperature in a room reaches 22°C and the furnace turns off. It takes two minutes for the room to cool to 16°C and two minutes for the furnace to bring it back to 22°C as shown in the following table. Time (min) 15 16 17 18 19 20 21 22 23 Temperature (°C) 22 19 16 19 22 19 16 19 22 Assuming that the temperature (after time 15) is a sine function of the time, find the function and graph it.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
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. Fifteen minutes after a furnace is turned on, the temperature in a room reaches 22°C and the furnace
turns off. It takes two minutes for the room to cool to 16°C and two minutes for the furnace to bring it
back to 22°C as shown in the following table.
Time (min)
15
16
17
18
19 20 21
22 23
Temperature (°C) | 22
19
16
19
22
19
16
19
22
Assuming that the temperature (after time 15) is a sine function of the time, find the function and graph
it.
Transcribed Image Text:. Fifteen minutes after a furnace is turned on, the temperature in a room reaches 22°C and the furnace turns off. It takes two minutes for the room to cool to 16°C and two minutes for the furnace to bring it back to 22°C as shown in the following table. Time (min) 15 16 17 18 19 20 21 22 23 Temperature (°C) | 22 19 16 19 22 19 16 19 22 Assuming that the temperature (after time 15) is a sine function of the time, find the function and graph it.
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