The temperature C of a fresh cup of coffee t minutes after it is poured is given by C = 125e 0.03t +68 degrees Fahrenheit. (a) Make a graph of C versus t. 200 200 180 180 160 160 140 140 120 120 C 100 C 100 80 80 60 60 40 40 20 20 0 20 40 60 80 100 120 140160180 200 220 240 20 40 60 80 100 120 140 160 180 200 220 240 t 200 200 180 180 160 160 140 140 120 120 C 100 C 100 80 80 60 60 40 40 20 20 0 20 40 60 80 100 120 140160180 200 220 240 0 20 40 60 80 100 120 140160 180 200 220 240 t (b) The coffee is cool enough to drink when its temperature is 135 degrees. When will the coffee be cool enough to drink? (Round your answer to two decimal places.) X min (c) What is the temperature of the coffee in the pot? (Note: We are assuming that the coffee pot is being kept hot and is the same temperature as the cup of coffee when it was poured. Round your answer to the nearest degree.) 193 °F (d) What is the temperature in the room where you are drinking the coffee? (Hint: If the coffee is left to cool a long time, it will reach room temperature. Round your answer to the nearest degree.) ४ °F Need Help? Read It Talk to a Tutor Tiplyashin Anato y/Shutterstock.com 8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 64E
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The temperature C of a fresh cup of coffee t minutes after it is poured is given by
C = 125e 0.03t +68 degrees Fahrenheit.
(a) Make a graph of C versus t.
200
200
180
180
160
160
140
140
120
120
C 100
C 100
80
80
60
60
40
40
20
20
0
20 40 60 80 100 120 140160180 200 220 240
20 40 60
80 100 120 140 160 180 200 220 240
t
200
200
180
180
160
160
140
140
120
120
C 100
C 100
80
80
60
60
40
40
20
20
0
20 40 60 80 100 120 140160180 200 220 240
0
20 40 60 80 100 120 140160 180 200 220 240
t
(b) The coffee is cool enough to drink when its temperature is 135 degrees. When will the coffee be cool enough to drink?
(Round your answer to two decimal places.)
X min
(c) What is the temperature of the coffee in the pot? (Note: We are assuming that the coffee pot is being kept hot and is
the same temperature as the cup of coffee when it was poured. Round your answer to the nearest degree.)
193
°F
(d) What is the temperature in the room where you are drinking the coffee? (Hint: If the coffee is left to cool a long time,
it will reach room temperature. Round your answer to the nearest degree.)
४ °F
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Transcribed Image Text:The temperature C of a fresh cup of coffee t minutes after it is poured is given by C = 125e 0.03t +68 degrees Fahrenheit. (a) Make a graph of C versus t. 200 200 180 180 160 160 140 140 120 120 C 100 C 100 80 80 60 60 40 40 20 20 0 20 40 60 80 100 120 140160180 200 220 240 20 40 60 80 100 120 140 160 180 200 220 240 t 200 200 180 180 160 160 140 140 120 120 C 100 C 100 80 80 60 60 40 40 20 20 0 20 40 60 80 100 120 140160180 200 220 240 0 20 40 60 80 100 120 140160 180 200 220 240 t (b) The coffee is cool enough to drink when its temperature is 135 degrees. When will the coffee be cool enough to drink? (Round your answer to two decimal places.) X min (c) What is the temperature of the coffee in the pot? (Note: We are assuming that the coffee pot is being kept hot and is the same temperature as the cup of coffee when it was poured. Round your answer to the nearest degree.) 193 °F (d) What is the temperature in the room where you are drinking the coffee? (Hint: If the coffee is left to cool a long time, it will reach room temperature. Round your answer to the nearest degree.) ४ °F Need Help? Read It Talk to a Tutor Tiplyashin Anato y/Shutterstock.com 8
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage