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 :
Sure! Let's go through the problem step-by-step to understand what the function [tex]\( C(F) \)[/tex] represents:
1. Understanding the Function:
The given function to convert temperatures from Fahrenheit to Celsius is:
[tex]\[
C(F) = \frac{5}{9}(F - 32)
\][/tex]
2. Breaking Down the Function:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- The term [tex]\( (F - 32) \)[/tex] accounts for the offset between Fahrenheit and Celsius temperature scales.
- Multiplying by [tex]\( \frac{5}{9} \)[/tex] converts the adjusted Fahrenheit temperature to degrees Celsius.
3. Interpreting [tex]\( C(F) \)[/tex]:
- [tex]\( C(F) \)[/tex] is the result of converting a temperature from Fahrenheit to Celsius using the formula.
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius that corresponds to a given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
4. Example Calculation:
Let's verify the conversion with an example:
- If [tex]\( F = 32 \)[/tex] degrees Fahrenheit (freezing point of water), we substitute [tex]\( F \)[/tex] into the function:
[tex]\[
C(32) = \frac{5}{9}(32 - 32) = \frac{5}{9} \times 0 = 0 \text{ degrees Celsius}
\][/tex]
- This tells us that 32 degrees Fahrenheit is equal to 0 degrees Celsius.
Given this analysis, we can deduce the meaning of [tex]\( C(F) \)[/tex] from the options provided:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius
- The temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit
- The temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius
- The temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit
The correct interpretation is:
[tex]\[
\boxed{\text{the temperature of } F \text{ degrees Fahrenheit converted to degrees Celsius}}
\][/tex]
So, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius that is equivalent to a given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
1. Understanding the Function:
The given function to convert temperatures from Fahrenheit to Celsius is:
[tex]\[
C(F) = \frac{5}{9}(F - 32)
\][/tex]
2. Breaking Down the Function:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- The term [tex]\( (F - 32) \)[/tex] accounts for the offset between Fahrenheit and Celsius temperature scales.
- Multiplying by [tex]\( \frac{5}{9} \)[/tex] converts the adjusted Fahrenheit temperature to degrees Celsius.
3. Interpreting [tex]\( C(F) \)[/tex]:
- [tex]\( C(F) \)[/tex] is the result of converting a temperature from Fahrenheit to Celsius using the formula.
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius that corresponds to a given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
4. Example Calculation:
Let's verify the conversion with an example:
- If [tex]\( F = 32 \)[/tex] degrees Fahrenheit (freezing point of water), we substitute [tex]\( F \)[/tex] into the function:
[tex]\[
C(32) = \frac{5}{9}(32 - 32) = \frac{5}{9} \times 0 = 0 \text{ degrees Celsius}
\][/tex]
- This tells us that 32 degrees Fahrenheit is equal to 0 degrees Celsius.
Given this analysis, we can deduce the meaning of [tex]\( C(F) \)[/tex] from the options provided:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius
- The temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit
- The temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius
- The temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit
The correct interpretation is:
[tex]\[
\boxed{\text{the temperature of } F \text{ degrees Fahrenheit converted to degrees Celsius}}
\][/tex]
So, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius that is equivalent to a given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
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
