Answer :
Certainly! Let's look at the provided function and what it represents.
The function given is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This is a formula used to convert temperatures from degrees Fahrenheit to degrees Celsius. Here's how it works:
1. Identify the parts of the formula:
- [tex]\( F \)[/tex] stands for a temperature in degrees Fahrenheit. It's the value you start with.
- [tex]\( C(F) \)[/tex] is the resulting temperature in degrees Celsius after conversion.
2. Understand the conversion process:
- The formula subtracts 32 from [tex]\( F \)[/tex]. This is because 32 is the freezing point of water in Fahrenheit, and we adjust for that difference.
- Next, the result is multiplied by [tex]\(\frac{5}{9}\)[/tex]. This scales the difference to match Celsius units because the degree size differs between Celsius and Fahrenheit.
3. Interpret [tex]\( C(F) \)[/tex]:
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius after converting from a given temperature in degrees Fahrenheit.
Therefore, when you use this function, you're converting a temperature measured in Fahrenheit to its equivalent in Celsius. Thus, the correct interpretation of [tex]\( C(F) \)[/tex] is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This is the answer to the question, indicating the conversion relationship in the context of the given function.
The function given is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This is a formula used to convert temperatures from degrees Fahrenheit to degrees Celsius. Here's how it works:
1. Identify the parts of the formula:
- [tex]\( F \)[/tex] stands for a temperature in degrees Fahrenheit. It's the value you start with.
- [tex]\( C(F) \)[/tex] is the resulting temperature in degrees Celsius after conversion.
2. Understand the conversion process:
- The formula subtracts 32 from [tex]\( F \)[/tex]. This is because 32 is the freezing point of water in Fahrenheit, and we adjust for that difference.
- Next, the result is multiplied by [tex]\(\frac{5}{9}\)[/tex]. This scales the difference to match Celsius units because the degree size differs between Celsius and Fahrenheit.
3. Interpret [tex]\( C(F) \)[/tex]:
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius after converting from a given temperature in degrees Fahrenheit.
Therefore, when you use this function, you're converting a temperature measured in Fahrenheit to its equivalent in Celsius. Thus, the correct interpretation of [tex]\( C(F) \)[/tex] is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This is the answer to the question, indicating the conversion relationship in the context of the given function.