A carton of ice cream is taken out of the freezer, and the ice cream’s tem- perature F (in degrees Fahrenheit) at various points in time is taken and recorded in the following table. Time, t, is measured in minutes. t(min) 0 2 4 6 8 10 12 14 16 18 20 F (t) (◦ F) 5.0 26.4 40.8 50.4 56.9 61.2 64.1 66.0 67.4 68.2 68.8 (a)  What is F (12)? Include units and write a sentence to explain the meaning of this value in the context of the ice cream. (b)  For what value of t does F(t) = 40.8? Includes units and write a sentence to explain the meaning of this value in the context of the ice cream. (c)  Find AV[10,20], and write one careful sentence to explain the meaning of this value in the context of the function F(t), including units on AV[10,20]. (d)  Is F (t) a linear function? Why or why not?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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  1. A carton of ice cream is taken out of the freezer, and the ice cream’s tem- perature F (in degrees Fahrenheit) at various points in time is taken and recorded in the following table. Time, t, is measured in minutes.

    t(min) 0 2 4 6 8 10 12 14 16 18 20 F (t) (◦ F) 5.0 26.4 40.8 50.4 56.9 61.2 64.1 66.0 67.4 68.2 68.8

    1. (a)  What is F (12)? Include units and write a sentence to explain the meaning of this value in the context of the ice cream.

    2. (b)  For what value of t does F(t) = 40.8? Includes units and write a sentence to explain the meaning of this value in the context of the ice cream.

    3. (c)  Find AV[10,20], and write one careful sentence to explain the meaning of this value in the context of the function F(t), including units on AV[10,20].

    4. (d)  Is F (t) a linear function? Why or why not?

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