A pot of tea is heated to 100°C. A cup of the tea is poured into a mug and taken outside where the temperature is 20°C. After 2 minutes, the temperature of the cup of tea is approximately 65°C. a. Determine the value of the proportionality constant, k b. Write a function for the temperature of the tea in the mug, T, in °C, as a function of time, t, in minutes. c. Graph the function, T

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Mathematical modelling
A pot of tea is heated to 100°C. A cup of the tea is poured into a mug and taken outside where
the temperature is 20°C. After 2 minutes, the temperature of the cup of tea is approximately
65°C.
a. Determine the value of the proportionality constant, k
b. Write a function for the temperature of the tea in the mug, T, in °C, as a function of time, t,
in minutes.
c. Graph the function, T
Transcribed Image Text:2. Mathematical modelling A pot of tea is heated to 100°C. A cup of the tea is poured into a mug and taken outside where the temperature is 20°C. After 2 minutes, the temperature of the cup of tea is approximately 65°C. a. Determine the value of the proportionality constant, k b. Write a function for the temperature of the tea in the mug, T, in °C, as a function of time, t, in minutes. c. Graph the function, T
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