Question 12 A cup of tea is cooling in a room that has a constant temperature of 70 degrees Fahrenheit ("F). If the initial temperature of the tea, at time t =0 minutes, is 200 F and the temperature of the tea changes at the rate R (t) = -6.89e 0.063 degrees Fahrenheit per minute, what is the temperature, to the nearest degree, of the tea after 4 minutes? 175'F B 130 F c) 95'F D 70'F 45'F

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
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Question 12

Question 12
cup of tea is cooling in a room that has a constant temperature of 70 degrees Fahrenheit (°F). If the initial temperature of the tea, at time t = 0 minutes, is 200°F and the temperature of the tea changes at the rate R(t) = -6.89e 0.053t degrees Fahrenheit per minute, what is the temperature, to the
nearest degree, of the tea after 4 minutes?
A
175°F
B
130°F
95°F
D
70°F
E
45°F
Transcribed Image Text:Question 12 cup of tea is cooling in a room that has a constant temperature of 70 degrees Fahrenheit (°F). If the initial temperature of the tea, at time t = 0 minutes, is 200°F and the temperature of the tea changes at the rate R(t) = -6.89e 0.053t degrees Fahrenheit per minute, what is the temperature, to the nearest degree, of the tea after 4 minutes? A 175°F B 130°F 95°F D 70°F E 45°F
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