### Evaluating an Exponential Function with Base $ e $ That Models CoolingA can of soda is placed inside a cooler. As the soda cools, its temperature $ T(x) $ in degrees Celsius is given by the following function, where $ x $ is the number of minutes since the can was placed in the cooler:\[ T(x) = -2 + 20e^{-0.025x} \]Find the initial temperature of the soda and its temperature after 18 minutes. Round your answers to the nearest degree as necessary.#### Calculations:- **Initial Temperature:** When $ x = 0 $, compute $ T(0) $.- **Temperature after 18 Minutes:** When $ x = 18 $, compute $ T(18) $.#### Instructions:- Enter your results into the provided fields.- Use the "Check" button to verify your answers.© 2022 McGraw Hill LLC. All Rights Reserved | [Terms of Use](#) | [Privacy Center](#)**Note:** Ensure that your calculations account for the exponential decay as described by the model. Understanding the impact of the function parameters is crucial in predicting the cooling process accurately.

Answered: Image /qna-images/answer/406da00a-e26f-4a80-8f5f-fa8c5597ae28.jpg

A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)=-2+20e-0.025x Find the initial temperature of the soda and its temperature after 18 minutes. Round your answers to the nearest degree as necessary. Initial temperature: Temperature after 18 minutes: C X G

A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)=-2+20e-0.025x Find the initial temperature of the soda and its temperature after 18 minutes. Round your answers to the nearest degree as necessary. Initial temperature: Temperature after 18 minutes: C X G

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

### Evaluating an Exponential Function with Base $ e $ That Models Cooling

A can of soda is placed inside a cooler. As the soda cools, its temperature $ T(x) $ in degrees Celsius is given by the following function, where $ x $ is the number of minutes since the can was placed in the cooler:

\[ T(x) = -2 + 20e^{-0.025x} \]

Find the initial temperature of the soda and its temperature after 18 minutes. Round your answers to the nearest degree as necessary.

#### Calculations:

- **Initial Temperature:**
When $ x = 0 $, compute $ T(0) $.

- **Temperature after 18 Minutes:**
When $ x = 18 $, compute $ T(18) $.

#### Instructions:

- Enter your results into the provided fields.
- Use the "Check" button to verify your answers.

© 2022 McGraw Hill LLC. All Rights Reserved | [Terms of Use](#) | [Privacy Center](#)

**Note:** Ensure that your calculations account for the exponential decay as described by the model. Understanding the impact of the function parameters is crucial in predicting the cooling process accurately.

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