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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![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F763a4f21-cd82-4596-bed4-a44e91945159%2F406da00a-e26f-4a80-8f5f-fa8c5597ae28%2F2gm138a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### 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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