Answer :
To solve this problem, we need to identify what the function [tex]\( C(F) \)[/tex] represents. The function given is:
[tex]\[ C(F) = \frac{5}{9} (F - 32) \][/tex]
First, let's understand the components of this function.
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.
To convert a temperature from Fahrenheit to Celsius, we use the following formula:
[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]
Where:
- Subtracting 32 adjusts the Fahrenheit scale so that it matches the Celsius scale at their zero points (freezing point of water).
- Multiplying by [tex]\(\frac{5}{9}\)[/tex] scales the temperature difference in Fahrenheit to match that of Celsius.
Based on this, the function [tex]\( C(F) \)[/tex] represents the conversion of the temperature from degrees Fahrenheit to degrees Celsius.
To determine the correct answer:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius (This option matches our understanding of the function [tex]\( C(F) \)[/tex]).
Hence, the correct interpretation is:
[tex]\[ \boxed{\text{the temperature of } F \text{ degrees Fahrenheit converted to degrees Celsius}} \][/tex]
[tex]\[ C(F) = \frac{5}{9} (F - 32) \][/tex]
First, let's understand the components of this function.
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.
To convert a temperature from Fahrenheit to Celsius, we use the following formula:
[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]
Where:
- Subtracting 32 adjusts the Fahrenheit scale so that it matches the Celsius scale at their zero points (freezing point of water).
- Multiplying by [tex]\(\frac{5}{9}\)[/tex] scales the temperature difference in Fahrenheit to match that of Celsius.
Based on this, the function [tex]\( C(F) \)[/tex] represents the conversion of the temperature from degrees Fahrenheit to degrees Celsius.
To determine the correct answer:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius (This option matches our understanding of the function [tex]\( C(F) \)[/tex]).
Hence, the correct interpretation is:
[tex]\[ \boxed{\text{the temperature of } F \text{ degrees Fahrenheit converted to degrees Celsius}} \][/tex]
