https://elearning.kctcs.edu/ultra/courses/ 493523760 1/cl/outlineThe temperature C of a fresh cup of coffee t minutes after it is poured is given by67%C 125e 071 degrees Fahrenheit.(a) Make a graph of C versus t200200180180100160140140120120C 100C 10080606040202020 40 60 0 100 120 140160180 200 220 24002040 6080 100 120 140160180 200 220 240t200200180180160160140140120120C100C 1008080604040202020 40 60 0 100 120 140160180 200 220 24020 40 60 a0 100 120 140160180 200 220 240(b) The coffee is cool enough to drink when its temperature is 130 degrees. When will the coffee be cool enough to drink? (Round your answer to two decimal places.)minTighei Aneh com The 25 Most InfluentiTranscript A Class DNew Tabhttps://elearning.kctcs.edu/ultra/courses/493523760 1/d/outline67%(a) Make a graph of C versus t200200180180160160140140120120C 100C 10080806060402020 40 6080 100 120 140160180 200 220 24020 40 60 80 100 120 140160180 200 220 240200200180180160160140140120120C100C10080806060202020 40 60 80 100 120 140160180 200 220 24020 40 60 80 100 120 140160180 200 220240(b) The coffee is cool enough to drink when its temperature is 130 degrees. When will the coffee be cool enough to drink? (Round your answer to two decimal places.)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.)oF|(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.)Need Help?Talk to a TutorRead It

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Asked Sep 16, 2019
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https://elearning.kctcs.edu/ultra/courses/ 493523760 1/cl/outline
The temperature C of a fresh cup of coffee t minutes after it is poured is given by
67%
C 125e 0
71 degrees Fahrenheit.
(a) Make a graph of C versus t
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(b) The coffee is cool enough to drink when its temperature is 130 degrees. When will the coffee be cool enough to drink? (Round your answer to two decimal places.)
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Tighei Aneh com
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https://elearning.kctcs.edu/ultra/courses/ 493523760 1/cl/outline The temperature C of a fresh cup of coffee t minutes after it is poured is given by 67% C 125e 0 71 degrees Fahrenheit. (a) Make a graph of C versus t 200 200 180 180 100 160 140 140 120 120 C 100 C 100 80 60 60 40 20 20 20 40 60 0 100 120 140160180 200 220 240 0 20 40 60 80 100 120 140160180 200 220 240 t 200 200 180 180 160 160 140 140 120 120 C100 C 100 80 80 60 40 40 20 20 20 40 60 0 100 120 140160180 200 220 240 20 40 60 a0 100 120 140160180 200 220 240 (b) The coffee is cool enough to drink when its temperature is 130 degrees. When will the coffee be cool enough to drink? (Round your answer to two decimal places.) min Tighei Aneh com

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The 25 Most Influenti
Transcript A Class D
New Tab
https://elearning.kctcs.edu/ultra/courses/493523760 1/d/outline
67%
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(b) The coffee is cool enough to drink when its temperature is 130 degrees. When will the coffee be cool enough to drink? (Round your answer to two decimal places.)
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.)
oF
|(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.)
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The 25 Most Influenti Transcript A Class D New Tab https://elearning.kctcs.edu/ultra/courses/493523760 1/d/outline 67% (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 20 20 40 60 80 100 120 140160180 200 220 240 20 40 60 80 100 120 140160180 200 220 240 200 200 180 180 160 160 140 140 120 120 C100 C100 80 80 60 60 20 20 20 40 60 80 100 120 140160180 200 220 240 20 40 60 80 100 120 140160180 200 220240 (b) The coffee is cool enough to drink when its temperature is 130 degrees. When will the coffee be cool enough to drink? (Round your answer to two decimal places.) 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.) oF |(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.) Need Help? Talk to a Tutor Read It

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Expert Answer

Step 1

Note: Hello there, since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

It is provided that the temperature C of a fresh cup of coffee t minutes after it is poured is given by the equation below,

In this question it is required to,

Part a) Sketch the graph of the equation given below.

Part b) Calculate the time when the temperature of the coffee is 130 degrees.

Part c) Calculate the temperature of the coffee in the pot.

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C = 125e 0.031 71 degrees Fahrenheit

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Step 2

Sketch of the equation is given below,

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220 -200 180 160 140 120 100 -80 60 -40 20 40 60 80 100 120 140 160 180 200220 -20 20 20

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Step 3

Part b)

Substitute 130 for C in the equation C = 125e-0.0...

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-0.03 130 125e005t +71 130 71 125e003 59 125e 0.03r 59 -0.03 125 -0.03t e 0.472 -0.03t n (0.472) {Taking log on both the sides t (0.472) -0.03 = t25.026

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