Answer :
To convert a temperature from Fahrenheit to Celsius using the given function [tex]\( C(f) = \frac{5}{9}(f - 32) \)[/tex], we'll follow these steps:
1. Identify the Fahrenheit Temperature: We are given [tex]\( f = 39 \)[/tex] degrees Fahrenheit.
2. Plug the Value into the Conversion Formula:
[tex]\[
C(39) = \frac{5}{9}(39 - 32)
\][/tex]
3. Calculate the Difference Inside the Parentheses:
[tex]\[
39 - 32 = 7
\][/tex]
4. Multiply by the Conversion Factor:
[tex]\[
C(39) = \frac{5}{9} \times 7
\][/tex]
5. Perform the Multiplication:
[tex]\[
\frac{5}{9} \times 7 = \frac{35}{9} \approx 3.888889
\][/tex]
6. Round to the Nearest Degree:
The Celsius temperature, [tex]\( C(39) \)[/tex], rounds to [tex]\( 4 \)[/tex] degrees when rounded to the nearest whole number.
Therefore, [tex]\( C(39) \)[/tex] is approximately [tex]\( 4 \)[/tex] degrees Celsius.
1. Identify the Fahrenheit Temperature: We are given [tex]\( f = 39 \)[/tex] degrees Fahrenheit.
2. Plug the Value into the Conversion Formula:
[tex]\[
C(39) = \frac{5}{9}(39 - 32)
\][/tex]
3. Calculate the Difference Inside the Parentheses:
[tex]\[
39 - 32 = 7
\][/tex]
4. Multiply by the Conversion Factor:
[tex]\[
C(39) = \frac{5}{9} \times 7
\][/tex]
5. Perform the Multiplication:
[tex]\[
\frac{5}{9} \times 7 = \frac{35}{9} \approx 3.888889
\][/tex]
6. Round to the Nearest Degree:
The Celsius temperature, [tex]\( C(39) \)[/tex], rounds to [tex]\( 4 \)[/tex] degrees when rounded to the nearest whole number.
Therefore, [tex]\( C(39) \)[/tex] is approximately [tex]\( 4 \)[/tex] degrees Celsius.