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Answer :
Certainly! Let's understand the question and work through what the function [tex]\(C(F) = \frac{5}{9}(F-32)\)[/tex] represents:
1. Identify the Function:
The function given is [tex]\(C(F) = \frac{5}{9}(F-32)\)[/tex]. This is a standard conversion formula used to transform temperatures from degrees Fahrenheit ([tex]\(F\)[/tex]) to degrees Celsius ([tex]\(C\)[/tex]).
2. Understanding the Variables:
- [tex]\(F\)[/tex] is the input to the function, which represents a temperature value in degrees Fahrenheit.
- [tex]\(C(F)\)[/tex] is the output of the function, which represents the corresponding temperature value in degrees Celsius.
3. Purpose of the Function:
The function takes a Fahrenheit temperature and applies a conversion method:
- Subtract 32 from the Fahrenheit temperature.
- Multiply the result by [tex]\(\frac{5}{9}\)[/tex] to get the temperature in Celsius.
4. What Does [tex]\(C(F)\)[/tex] Represent?
Given the process above, [tex]\(C(F)\)[/tex] is the output of the conversion function where:
- The input [tex]\(F\)[/tex] is given in degrees Fahrenheit.
- The output [tex]\(C(F)\)[/tex] is in degrees Celsius.
So, the correct interpretation of what [tex]\(C(F)\)[/tex] represents in this context is:
"C(F) represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit."
This matches the first option provided in the question. I hope this explanation helps clarify how the Fahrenheit to Celsius conversion function works!
1. Identify the Function:
The function given is [tex]\(C(F) = \frac{5}{9}(F-32)\)[/tex]. This is a standard conversion formula used to transform temperatures from degrees Fahrenheit ([tex]\(F\)[/tex]) to degrees Celsius ([tex]\(C\)[/tex]).
2. Understanding the Variables:
- [tex]\(F\)[/tex] is the input to the function, which represents a temperature value in degrees Fahrenheit.
- [tex]\(C(F)\)[/tex] is the output of the function, which represents the corresponding temperature value in degrees Celsius.
3. Purpose of the Function:
The function takes a Fahrenheit temperature and applies a conversion method:
- Subtract 32 from the Fahrenheit temperature.
- Multiply the result by [tex]\(\frac{5}{9}\)[/tex] to get the temperature in Celsius.
4. What Does [tex]\(C(F)\)[/tex] Represent?
Given the process above, [tex]\(C(F)\)[/tex] is the output of the conversion function where:
- The input [tex]\(F\)[/tex] is given in degrees Fahrenheit.
- The output [tex]\(C(F)\)[/tex] is in degrees Celsius.
So, the correct interpretation of what [tex]\(C(F)\)[/tex] represents in this context is:
"C(F) represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit."
This matches the first option provided in the question. I hope this explanation helps clarify how the Fahrenheit to Celsius conversion function works!
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- 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.
Rewritten by : Batagu
