Thank you for visiting For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve this question, let's break down what we are trying to understand and what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] does:
1. Understanding the Function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from Fahrenheit to Celsius.
2. Function Notation: Here, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, and [tex]\( C(F) \)[/tex] is the result of converting that Fahrenheit temperature to degrees Celsius.
3. Conversion Explanation:
- Start with a temperature in Fahrenheit [tex]\( F \)[/tex].
- Subtract 32 from [tex]\( F \)[/tex]. This accounts for the difference in the starting points of the Fahrenheit and Celsius scales (since water freezes at 32°F and 0°C).
- Multiply the result by [tex]\(\frac{5}{9}\)[/tex]. This accounts for the different scale gradients (Fahrenheit has more degrees over the same temperature range compared to Celsius; specifically, every increase of 1 degree Celsius corresponds to an increase of [tex]\( \frac{9}{5} \)[/tex] degrees Fahrenheit).
4. Conclusion: After performing these operations, [tex]\( C(F) \)[/tex] gives us the converted temperature in degrees Celsius.
Based on this explanation, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. So the correct answer is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
1. Understanding the Function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from Fahrenheit to Celsius.
2. Function Notation: Here, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, and [tex]\( C(F) \)[/tex] is the result of converting that Fahrenheit temperature to degrees Celsius.
3. Conversion Explanation:
- Start with a temperature in Fahrenheit [tex]\( F \)[/tex].
- Subtract 32 from [tex]\( F \)[/tex]. This accounts for the difference in the starting points of the Fahrenheit and Celsius scales (since water freezes at 32°F and 0°C).
- Multiply the result by [tex]\(\frac{5}{9}\)[/tex]. This accounts for the different scale gradients (Fahrenheit has more degrees over the same temperature range compared to Celsius; specifically, every increase of 1 degree Celsius corresponds to an increase of [tex]\( \frac{9}{5} \)[/tex] degrees Fahrenheit).
4. Conclusion: After performing these operations, [tex]\( C(F) \)[/tex] gives us the converted temperature in degrees Celsius.
Based on this explanation, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. So the correct answer is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
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Rewritten by : Jeany