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 understand what [tex]\( C(F) \)[/tex] represents in the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], let’s go through the steps to convert a temperature from Fahrenheit to Celsius.
### Step-by-Step Explanation:
1. Formula Understanding:
- The given function is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- This function is used for converting temperatures from Fahrenheit to Celsius.
2. Breaking Down the Formula:
- In the formula, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- The expression [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature by subtracting 32 because the freezing point of water is 32°F.
- The factor [tex]\( \frac{5}{9} \)[/tex] is used to convert the adjusted temperature difference from the Fahrenheit scale to the Celsius scale.
3. Conversion Process:
- When you input a temperature in Fahrenheit (denoted as [tex]\( F \)[/tex]) into the function [tex]\( C(F) \)[/tex], the function first subtracts 32 from [tex]\( F \)[/tex].
- Then, it multiplies the result by [tex]\( \frac{5}{9} \)[/tex], converting the temperature from Fahrenheit units to Celsius units.
4. Meaning of [tex]\( C(F) \)[/tex]:
- [tex]\( C(F) \)[/tex] provides the corresponding temperature in degrees Celsius after converting from the given temperature in degrees Fahrenheit.
### Conclusion:
Given this understanding, the correct interpretation of [tex]\( C(F) \)[/tex] is:
- [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This tells us that when we input a temperature in degrees Fahrenheit into the function, the output is the equivalent temperature in degrees Celsius.
### Step-by-Step Explanation:
1. Formula Understanding:
- The given function is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- This function is used for converting temperatures from Fahrenheit to Celsius.
2. Breaking Down the Formula:
- In the formula, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- The expression [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature by subtracting 32 because the freezing point of water is 32°F.
- The factor [tex]\( \frac{5}{9} \)[/tex] is used to convert the adjusted temperature difference from the Fahrenheit scale to the Celsius scale.
3. Conversion Process:
- When you input a temperature in Fahrenheit (denoted as [tex]\( F \)[/tex]) into the function [tex]\( C(F) \)[/tex], the function first subtracts 32 from [tex]\( F \)[/tex].
- Then, it multiplies the result by [tex]\( \frac{5}{9} \)[/tex], converting the temperature from Fahrenheit units to Celsius units.
4. Meaning of [tex]\( C(F) \)[/tex]:
- [tex]\( C(F) \)[/tex] provides the corresponding temperature in degrees Celsius after converting from the given temperature in degrees Fahrenheit.
### Conclusion:
Given this understanding, the correct interpretation of [tex]\( C(F) \)[/tex] is:
- [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This tells us that when we input a temperature in degrees Fahrenheit into the function, the output is the equivalent temperature in degrees Celsius.
Thank you for reading the article 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. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
