Answer :
Sure! Let's break down what [tex]$C(76.1)$[/tex] represents step-by-step.
1. Understanding the Function: The function [tex]$C(F)=\frac{5}{9}(F-32)$[/tex] is used to convert a temperature from degrees Fahrenheit to degrees Celsius. The formula is designed to take a temperature in Fahrenheit and return its equivalent in Celsius.
2. Given Input: We have a temperature of 76.1 degrees Fahrenheit.
3. Applying the Function: We need to substitute 76.1 for [tex]$F$[/tex] in the function [tex]$C(F)$[/tex]. So, it becomes:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Calculation:
- First, subtract 32 from 76.1, which gives us 44.1.
- Then, multiply this result by [tex]$\frac{5}{9}$[/tex].
5. Result: After performing the multiplication, we get approximately [tex]$24.5$[/tex] degrees Celsius.
6. Conclusion: Therefore, [tex]$C(76.1)$[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, the correct choice is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
1. Understanding the Function: The function [tex]$C(F)=\frac{5}{9}(F-32)$[/tex] is used to convert a temperature from degrees Fahrenheit to degrees Celsius. The formula is designed to take a temperature in Fahrenheit and return its equivalent in Celsius.
2. Given Input: We have a temperature of 76.1 degrees Fahrenheit.
3. Applying the Function: We need to substitute 76.1 for [tex]$F$[/tex] in the function [tex]$C(F)$[/tex]. So, it becomes:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Calculation:
- First, subtract 32 from 76.1, which gives us 44.1.
- Then, multiply this result by [tex]$\frac{5}{9}$[/tex].
5. Result: After performing the multiplication, we get approximately [tex]$24.5$[/tex] degrees Celsius.
6. Conclusion: Therefore, [tex]$C(76.1)$[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, the correct choice is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.