Answer :
To solve this problem, we are using a function to convert temperature from degrees Fahrenheit to degrees Celsius. The function provided is [tex]\( C(A) = \frac{5}{9}(F - 32) \)[/tex].
In this case, we are given a temperature of 76.1 degrees Fahrenheit. Our goal is to find what this temperature is in degrees Celsius.
Here's how you can understand it:
1. Identify the Known Temperature:
- We have a temperature in Fahrenheit: [tex]\( F = 76.1 \)[/tex].
2. Apply the Conversion Formula:
- The conversion formula is used to convert Fahrenheit to Celsius:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
3. Substitute the Fahrenheit Temperature:
- Substitute [tex]\( F = 76.1 \)[/tex] into the formula:
[tex]\[ C = \frac{5}{9}(76.1 - 32) \][/tex]
4. Calculate the Difference:
- First, calculate the difference between 76.1 and 32:
[tex]\[ 76.1 - 32 = 44.1 \][/tex]
5. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
- Now, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 44.1 \][/tex]
6. Find the Celsius Temperature:
- This calculation gives us the Celsius temperature, which is approximately 24.5 degrees Celsius.
Thus, the value [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. This conversion results in approximately 24.5 degrees Celsius.
So, the correct interpretation of [tex]\( C(76.1) \)[/tex] is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
In this case, we are given a temperature of 76.1 degrees Fahrenheit. Our goal is to find what this temperature is in degrees Celsius.
Here's how you can understand it:
1. Identify the Known Temperature:
- We have a temperature in Fahrenheit: [tex]\( F = 76.1 \)[/tex].
2. Apply the Conversion Formula:
- The conversion formula is used to convert Fahrenheit to Celsius:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
3. Substitute the Fahrenheit Temperature:
- Substitute [tex]\( F = 76.1 \)[/tex] into the formula:
[tex]\[ C = \frac{5}{9}(76.1 - 32) \][/tex]
4. Calculate the Difference:
- First, calculate the difference between 76.1 and 32:
[tex]\[ 76.1 - 32 = 44.1 \][/tex]
5. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
- Now, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 44.1 \][/tex]
6. Find the Celsius Temperature:
- This calculation gives us the Celsius temperature, which is approximately 24.5 degrees Celsius.
Thus, the value [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. This conversion results in approximately 24.5 degrees Celsius.
So, the correct interpretation of [tex]\( C(76.1) \)[/tex] is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
