Answer :
To understand what [tex]\( C(76.1) \)[/tex] represents, let's break down the process of converting from degrees Fahrenheit to degrees Celsius using the given function:
1. Understand the Function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
2. Substitute 76.1 into the Function: We need to find [tex]\( C(76.1) \)[/tex], which means we substitute [tex]\( F = 76.1 \)[/tex] into the function.
3. Calculate Step-by-Step:
- Start by subtracting 32 from 76.1:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
- Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 44.1
\][/tex]
4. Result: The calculation results in approximately [tex]\( 24.5 \)[/tex] degrees Celsius.
So, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 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 a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
2. Substitute 76.1 into the Function: We need to find [tex]\( C(76.1) \)[/tex], which means we substitute [tex]\( F = 76.1 \)[/tex] into the function.
3. Calculate Step-by-Step:
- Start by subtracting 32 from 76.1:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
- Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 44.1
\][/tex]
4. Result: The calculation results in approximately [tex]\( 24.5 \)[/tex] degrees Celsius.
So, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
