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Answer :
To solve the problem of converting the temperature from degrees Fahrenheit to degrees Celsius using the provided function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], follow these steps:
1. Understand the Function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from Fahrenheit to Celsius. In this context, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, and [tex]\( C(F) \)[/tex] gives the equivalent temperature in degrees Celsius.
2. Identify the Given Temperature: You need to convert a temperature of [tex]\( 76.1 \)[/tex] degrees Fahrenheit.
3. Substitute the Given Temperature into the Function:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Perform the Calculation Inside the Parentheses:
- Start by subtracting 32 from 76.1:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
5. Apply the Conversion Factor:
- Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C(76.1) = \frac{5}{9} \times 44.1 \approx 24.5
\][/tex]
The calculation results in approximately [tex]\( 24.5 \)[/tex] degrees Celsius. Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of [tex]\( 76.1 \)[/tex] degrees Fahrenheit converted to degrees Celsius.
1. Understand the Function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from Fahrenheit to Celsius. In this context, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, and [tex]\( C(F) \)[/tex] gives the equivalent temperature in degrees Celsius.
2. Identify the Given Temperature: You need to convert a temperature of [tex]\( 76.1 \)[/tex] degrees Fahrenheit.
3. Substitute the Given Temperature into the Function:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Perform the Calculation Inside the Parentheses:
- Start by subtracting 32 from 76.1:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
5. Apply the Conversion Factor:
- Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C(76.1) = \frac{5}{9} \times 44.1 \approx 24.5
\][/tex]
The calculation results in approximately [tex]\( 24.5 \)[/tex] degrees Celsius. Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of [tex]\( 76.1 \)[/tex] degrees Fahrenheit converted to degrees Celsius.
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