Answer :
Certainly! Let's go through the problem step by step:
Siera wants to convert the average high temperature from degrees Fahrenheit (F) to degrees Celsius (C) using the given function:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This function is a formula used for converting temperatures measured in Fahrenheit to Celsius. Here's what each part of the question means:
- [tex]\( C(F) \)[/tex] is the notation used for the function that converts the temperature.
- The input [tex]\( F \)[/tex] in the function [tex]\( C(F) \)[/tex] represents a temperature measured in degrees Fahrenheit.
- The output of the function [tex]\( C(F) \)[/tex] gives the equivalent temperature in degrees Celsius.
Therefore, when we use [tex]\( C(F) \)[/tex], it tells us the temperature in degrees Celsius after converting from degrees Fahrenheit.
Now, let's identify which option correctly matches this explanation:
1. [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
This option correctly describes what [tex]\( C(F) \)[/tex] represents: the function takes an input in Fahrenheit and provides an output in Celsius.
The other options are incorrect because they describe the conversions or representations backwards or incorrectly. Therefore, the correct interpretation is:
[tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
Siera wants to convert the average high temperature from degrees Fahrenheit (F) to degrees Celsius (C) using the given function:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This function is a formula used for converting temperatures measured in Fahrenheit to Celsius. Here's what each part of the question means:
- [tex]\( C(F) \)[/tex] is the notation used for the function that converts the temperature.
- The input [tex]\( F \)[/tex] in the function [tex]\( C(F) \)[/tex] represents a temperature measured in degrees Fahrenheit.
- The output of the function [tex]\( C(F) \)[/tex] gives the equivalent temperature in degrees Celsius.
Therefore, when we use [tex]\( C(F) \)[/tex], it tells us the temperature in degrees Celsius after converting from degrees Fahrenheit.
Now, let's identify which option correctly matches this explanation:
1. [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
This option correctly describes what [tex]\( C(F) \)[/tex] represents: the function takes an input in Fahrenheit and provides an output in Celsius.
The other options are incorrect because they describe the conversions or representations backwards or incorrectly. Therefore, the correct interpretation is:
[tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.