Suppose that an object that is originally at room temperature of 32°C is placed in a freezer. The temperature T(x) (in °C) of the object can be approximated by the model T(x) = 320 , where x is the time in hours after the object is x + 3x + 10 placed in the freezer. a. What is the horizontal asymptote of the graph of this function and what does it represent in the context of this problem? b. A chemist needs a compound cooled to less than 5°C. Determine the amount of time required for the compound to cool so that its temperature is less than 5°C.

Suppose that an object that is originally at room temperature of 32°C is placed in a freezer. The temperature T(x) (in °C) of the object can be approximated by the model T(x) = 320 , where x is the time in hours after the object is x + 3x + 10 placed in the freezer. a. What is the horizontal asymptote of the graph of this function and what does it represent in the context of this problem? b. A chemist needs a compound cooled to less than 5°C. Determine the amount of time required for the compound to cool so that its temperature is less than 5°C.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Suppose that an object that is originally at room temperature of 32°C is placed in a freezer. The temperature T(x) (in °C) of
the object can be approximated by the model T(x) =
320
, where x is the time in hours after the object is
x + 3x + 10
placed in the freezer.
a. What is the horizontal asymptote of the graph of this function and what does it represent in the context of this problem?
b. A chemist needs a compound cooled to less than 5°C. Determine the amount of time required for the compound to cool
so that its temperature is less than 5°C.

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