Answer :
To understand what [tex]\( C(76.1) \)[/tex] represents, we need to recall the function given:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This function is used to convert temperatures from degrees Fahrenheit (F) to degrees Celsius (C). In this case, we are focusing on the specific value where [tex]\( F = 76.1 \)[/tex] degrees Fahrenheit.
1. Identify what [tex]\( C(76.1) \)[/tex] is asking for:
- We are asked to find the interpretation of [tex]\( C(76.1) \)[/tex].
2. Understand the expression [tex]\( C(F) \)[/tex]:
- The function [tex]\( C(F) \)[/tex] takes a temperature value in Fahrenheit (F) and converts it into Celsius (C).
3. Plug in the given value:
- Here, [tex]\( F = 76.1 \)[/tex]. So, when we input this into our function, we determine the equivalent temperature in Celsius by calculating:
[tex]\[ C(76.1) = \frac{5}{9}(76.1 - 32) \][/tex]
4. Interpret the result:
- Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
The correct choice from the options given is:
- "the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius"
This means that when you use this function to evaluate [tex]\( C(76.1) \)[/tex], the result is the temperature in Celsius that corresponds to 76.1 degrees Fahrenheit.
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This function is used to convert temperatures from degrees Fahrenheit (F) to degrees Celsius (C). In this case, we are focusing on the specific value where [tex]\( F = 76.1 \)[/tex] degrees Fahrenheit.
1. Identify what [tex]\( C(76.1) \)[/tex] is asking for:
- We are asked to find the interpretation of [tex]\( C(76.1) \)[/tex].
2. Understand the expression [tex]\( C(F) \)[/tex]:
- The function [tex]\( C(F) \)[/tex] takes a temperature value in Fahrenheit (F) and converts it into Celsius (C).
3. Plug in the given value:
- Here, [tex]\( F = 76.1 \)[/tex]. So, when we input this into our function, we determine the equivalent temperature in Celsius by calculating:
[tex]\[ C(76.1) = \frac{5}{9}(76.1 - 32) \][/tex]
4. Interpret the result:
- Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
The correct choice from the options given is:
- "the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius"
This means that when you use this function to evaluate [tex]\( C(76.1) \)[/tex], the result is the temperature in Celsius that corresponds to 76.1 degrees Fahrenheit.
