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Answer :
To solve the problem, we need to determine what [tex]\( C(76.1) \)[/tex] represents when using the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
The function [tex]\( C(F) \)[/tex] is designed to convert a temperature from degrees Fahrenheit to degrees Celsius. Here's how it works:
1. Understand the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] converts Fahrenheit to Celsius. This is a standard conversion formula where you subtract 32 from the Fahrenheit temperature, then multiply the result by [tex]\(\frac{5}{9}\)[/tex].
2. Identify What We Have:
- We're given a specific Fahrenheit temperature: 76.1°F.
3. Apply the Temperature to the Function:
- We substitute 76.1 for [tex]\( F \)[/tex] in the function [tex]\( C(F) \)[/tex].
- So, [tex]\( C(76.1) = \frac{5}{9}(76.1 - 32) \)[/tex].
4. Interpret the Result:
- The result of this conversion, which is approximately 24.5 degrees Celsius, represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Therefore, [tex]\( C(76.1) \)[/tex] specifically represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
The function [tex]\( C(F) \)[/tex] is designed to convert a temperature from degrees Fahrenheit to degrees Celsius. Here's how it works:
1. Understand the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] converts Fahrenheit to Celsius. This is a standard conversion formula where you subtract 32 from the Fahrenheit temperature, then multiply the result by [tex]\(\frac{5}{9}\)[/tex].
2. Identify What We Have:
- We're given a specific Fahrenheit temperature: 76.1°F.
3. Apply the Temperature to the Function:
- We substitute 76.1 for [tex]\( F \)[/tex] in the function [tex]\( C(F) \)[/tex].
- So, [tex]\( C(76.1) = \frac{5}{9}(76.1 - 32) \)[/tex].
4. Interpret the Result:
- The result of this conversion, which is approximately 24.5 degrees Celsius, represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Therefore, [tex]\( C(76.1) \)[/tex] specifically represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
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