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, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents. This function is used to convert a temperature from degrees Fahrenheit to degrees Celsius.
Let's break down the function step-by-step:
1. Understand the Components of the Function:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the resulting temperature in degrees Celsius after the conversion.
2. Conversion Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert Fahrenheit to Celsius.
- The part [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature by subtracting 32, which is necessary because 32 degrees Fahrenheit is the freezing point of water — equivalent to 0 degrees Celsius.
- The multiplication by [tex]\( \frac{5}{9} \)[/tex] scales the adjusted temperature to match the Celsius scale, which progresses at a different rate compared to Fahrenheit.
3. What Does [tex]\( C(F) \)[/tex] Represent?
- [tex]\( C(F) \)[/tex] gives us the temperature in degrees Celsius that corresponds to [tex]\( F \)[/tex] degrees Fahrenheit.
4. Example to Verify:
- If we take an example where [tex]\( F = 32 \)[/tex] (the freezing point of water), plug it into the conversion formula:
[tex]\[
C(F) = \frac{5}{9}(32 - 32) = \frac{5}{9} \times 0 = 0
\][/tex]
- This calculation shows that 32 degrees Fahrenheit is indeed 0 degrees Celsius, demonstrating the proper conversion.
Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Let's break down the function step-by-step:
1. Understand the Components of the Function:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the resulting temperature in degrees Celsius after the conversion.
2. Conversion Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert Fahrenheit to Celsius.
- The part [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature by subtracting 32, which is necessary because 32 degrees Fahrenheit is the freezing point of water — equivalent to 0 degrees Celsius.
- The multiplication by [tex]\( \frac{5}{9} \)[/tex] scales the adjusted temperature to match the Celsius scale, which progresses at a different rate compared to Fahrenheit.
3. What Does [tex]\( C(F) \)[/tex] Represent?
- [tex]\( C(F) \)[/tex] gives us the temperature in degrees Celsius that corresponds to [tex]\( F \)[/tex] degrees Fahrenheit.
4. Example to Verify:
- If we take an example where [tex]\( F = 32 \)[/tex] (the freezing point of water), plug it into the conversion formula:
[tex]\[
C(F) = \frac{5}{9}(32 - 32) = \frac{5}{9} \times 0 = 0
\][/tex]
- This calculation shows that 32 degrees Fahrenheit is indeed 0 degrees Celsius, demonstrating the proper conversion.
Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to 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
