A cup of coffee is poured, and the temperature is measured t be 120 degrees Fahrenheit. The temperature of the coffee then decreases at a rate modeled by r(t) = 55e-0.03£² degrees Fahrenheit per minute, where t is the number of minutes since the coffee was poured. What is the temperature of the coffee, in degrees Fahrenheit, at time t = 1 minute?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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A cup of coffee is poured, and the temperature is measured to
be 120 degrees Fahrenheit. The temperature of the coffee
then decreases at a rate modeled by r(t) = 55e-0.03ť²
degrees Fahrenheit per minute, where t is the number of
minutes since the coffee was poured. What is the
temperature of the coffee, in degrees Fahrenheit, at time
t
1 minute?
A)
53.4°F
B
54.5°F
65.5°F
66.6°F
Transcribed Image Text:A cup of coffee is poured, and the temperature is measured to be 120 degrees Fahrenheit. The temperature of the coffee then decreases at a rate modeled by r(t) = 55e-0.03ť² degrees Fahrenheit per minute, where t is the number of minutes since the coffee was poured. What is the temperature of the coffee, in degrees Fahrenheit, at time t 1 minute? A) 53.4°F B 54.5°F 65.5°F 66.6°F
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