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Answer :
The question is asking about what the function C(76.1) represents. To evaluate this, let's break down what C(76.1) would typically mean in the context provided:
1. Converting Temperature from Fahrenheit to Celsius:
The function C(76.1) is most likely referring to converting a temperature of 76.1 degrees Fahrenheit to degrees Celsius. The standard formula for converting Fahrenheit to Celsius is:
[tex]\[
C = \frac{5}{9} \times (F - 32)
\][/tex]
Plugging 76.1 degrees Fahrenheit into the formula:
[tex]\[
C = \frac{5}{9} \times (76.1 - 32) \approx 24.5
\][/tex]
So, 76.1 degrees Fahrenheit converts to approximately 24.5 degrees Celsius.
2. Checking the Second Option (Celsius to Fahrenheit):
This option mentioned converting 76.1 degrees Celsius to Fahrenheit. However, using our earlier conversion, 76.1 was initially in Fahrenheit, so this doesn’t apply here.
3. The Final Option about Time:
This option talked about the time it takes a temperature of 76.1 degrees Celsius to convert to 32 degrees Fahrenheit, which isn't directly related to the mathematical operation that C(76.1) would perform in this context.
Therefore, based on the information given and our conversion, the function C(76.1) represents the temperature of 76.1 degrees Fahrenheit converted to approximately 24.5 degrees Celsius.
1. Converting Temperature from Fahrenheit to Celsius:
The function C(76.1) is most likely referring to converting a temperature of 76.1 degrees Fahrenheit to degrees Celsius. The standard formula for converting Fahrenheit to Celsius is:
[tex]\[
C = \frac{5}{9} \times (F - 32)
\][/tex]
Plugging 76.1 degrees Fahrenheit into the formula:
[tex]\[
C = \frac{5}{9} \times (76.1 - 32) \approx 24.5
\][/tex]
So, 76.1 degrees Fahrenheit converts to approximately 24.5 degrees Celsius.
2. Checking the Second Option (Celsius to Fahrenheit):
This option mentioned converting 76.1 degrees Celsius to Fahrenheit. However, using our earlier conversion, 76.1 was initially in Fahrenheit, so this doesn’t apply here.
3. The Final Option about Time:
This option talked about the time it takes a temperature of 76.1 degrees Celsius to convert to 32 degrees Fahrenheit, which isn't directly related to the mathematical operation that C(76.1) would perform in this context.
Therefore, based on the information given and our conversion, the function C(76.1) represents the temperature of 76.1 degrees Fahrenheit converted to approximately 24.5 degrees Celsius.
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