Answer :
We want to convert a temperature of $76.1^\circ \text{F}$ to Celsius using the function
$$
C(F) = \frac{5}{9}(F - 32).
$$
Here are the detailed steps:
1. We start with the temperature in Fahrenheit: $F = 76.1$.
2. Substitute $F = 76.1$ into the function:
$$
C(76.1) = \frac{5}{9}(76.1 - 32).
$$
3. Calculate the difference in the parentheses:
$$
76.1 - 32 = 44.1.
$$
4. Now, multiply by the factor $\frac{5}{9}$:
$$
C(76.1) = \frac{5}{9} \times 44.1 \approx 24.5.
$$
The number $C(76.1)$ represents the temperature in degrees Celsius obtained by converting $76.1^\circ \text{F}$.
Thus, $C(76.1)$ is the temperature of $76.1^\circ \text{F}$ converted to degrees Celsius.
$$
C(F) = \frac{5}{9}(F - 32).
$$
Here are the detailed steps:
1. We start with the temperature in Fahrenheit: $F = 76.1$.
2. Substitute $F = 76.1$ into the function:
$$
C(76.1) = \frac{5}{9}(76.1 - 32).
$$
3. Calculate the difference in the parentheses:
$$
76.1 - 32 = 44.1.
$$
4. Now, multiply by the factor $\frac{5}{9}$:
$$
C(76.1) = \frac{5}{9} \times 44.1 \approx 24.5.
$$
The number $C(76.1)$ represents the temperature in degrees Celsius obtained by converting $76.1^\circ \text{F}$.
Thus, $C(76.1)$ is the temperature of $76.1^\circ \text{F}$ converted to degrees Celsius.