Answer :
Let's break down the problem step-by-step to understand the conversion from degrees Fahrenheit to degrees Celsius.
The given function for conversion is:
[tex]\[ C(R) = \frac{5}{9}(k - 32) \][/tex]
Here, [tex]\( C \)[/tex] represents the temperature in degrees Celsius, and [tex]\( k \)[/tex] represents the temperature in degrees Fahrenheit.
To understand this function better:
1. Identify Variables:
- [tex]\( k \)[/tex] in the equation is the temperature in degrees Fahrenheit.
- [tex]\( C(R) \)[/tex] represents the temperature in degrees Celsius after the conversion.
2. Formula Explanation:
- The formula [tex]\(\frac{5}{9}(k - 32)\)[/tex] is the standard formula used for converting a temperature from Fahrenheit to Celsius.
- This formula takes the temperature in Fahrenheit ([tex]\(k\)[/tex]) and adjusts for the offset and difference in scale between the Fahrenheit and Celsius scales. Specifically:
- The term "(k - 32)" adjusts for the fact that 32°F is the freezing point of water on the Fahrenheit scale.
- Multiplying by [tex]\(\frac{5}{9}\)[/tex] converts the temperature difference from the Fahrenheit scale to the Celsius scale.
3. Determine Representation:
- Given [tex]\( k \)[/tex] (temperature in Fahrenheit), applying the formula [tex]\(\frac{5}{9}(k - 32)\)[/tex] converts this temperature to degrees Celsius.
- Therefore, the function [tex]\( C(R) \)[/tex] gives the temperature in degrees Celsius when given a temperature [tex]\( k \)[/tex] in degrees Fahrenheit.
Thus, given the function [tex]\( C(R) = \frac{5}{9}(k - 32) \)[/tex], the correct interpretation of [tex]\( C(R) \)[/tex] is:
The temperature of [tex]\( k \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Hence, the correct answer is:
- The temperature of F degrees Fahrenheit converted to degrees Celsius
The given function for conversion is:
[tex]\[ C(R) = \frac{5}{9}(k - 32) \][/tex]
Here, [tex]\( C \)[/tex] represents the temperature in degrees Celsius, and [tex]\( k \)[/tex] represents the temperature in degrees Fahrenheit.
To understand this function better:
1. Identify Variables:
- [tex]\( k \)[/tex] in the equation is the temperature in degrees Fahrenheit.
- [tex]\( C(R) \)[/tex] represents the temperature in degrees Celsius after the conversion.
2. Formula Explanation:
- The formula [tex]\(\frac{5}{9}(k - 32)\)[/tex] is the standard formula used for converting a temperature from Fahrenheit to Celsius.
- This formula takes the temperature in Fahrenheit ([tex]\(k\)[/tex]) and adjusts for the offset and difference in scale between the Fahrenheit and Celsius scales. Specifically:
- The term "(k - 32)" adjusts for the fact that 32°F is the freezing point of water on the Fahrenheit scale.
- Multiplying by [tex]\(\frac{5}{9}\)[/tex] converts the temperature difference from the Fahrenheit scale to the Celsius scale.
3. Determine Representation:
- Given [tex]\( k \)[/tex] (temperature in Fahrenheit), applying the formula [tex]\(\frac{5}{9}(k - 32)\)[/tex] converts this temperature to degrees Celsius.
- Therefore, the function [tex]\( C(R) \)[/tex] gives the temperature in degrees Celsius when given a temperature [tex]\( k \)[/tex] in degrees Fahrenheit.
Thus, given the function [tex]\( C(R) = \frac{5}{9}(k - 32) \)[/tex], the correct interpretation of [tex]\( C(R) \)[/tex] is:
The temperature of [tex]\( k \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Hence, the correct answer is:
- The temperature of F degrees Fahrenheit converted to degrees Celsius