We're glad you stopped by For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
Sure! Let's break down the problem step by step to understand what [tex]\( C(F) \)[/tex] represents in the context of temperature conversion.
You are provided with the function:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This function is used for converting temperatures from degrees Fahrenheit to degrees Celsius. Let's analyze the options:
1. Option 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 is a correct interpretation. The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes a temperature in Fahrenheit (denoted by [tex]\( F \)[/tex]) and converts it to Celsius (denoted by [tex]\( C \)[/tex]).
2. Option 2: [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( F \)[/tex] in degrees Fahrenheit when the input [tex]\( C \)[/tex] is in degrees Celsius.
- This is not correct because [tex]\( C(F) \)[/tex] is not a function to calculate Fahrenheit. Instead, it converts a Fahrenheit input into Celsius.
3. Option 3: [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Fahrenheit when the input [tex]\( F \)[/tex] is in degrees Celsius.
- This option is incorrect because the function actually provides a temperature output in Celsius, not Fahrenheit.
4. Option 4: [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( F \)[/tex] in degrees Celsius when the input [tex]\( C \)[/tex] is in degrees Fahrenheit.
- This is incorrect because it reverses the role of input and output. [tex]\( F \)[/tex] is the input in Fahrenheit, and [tex]\( C \)[/tex] is the output in Celsius.
After reviewing all options, we can determine that Option 1 is the best choice. It accurately describes the conversion process that the function performs:
[tex]\[ C(F) \][/tex] converts the input temperature in degrees Fahrenheit to an output temperature in degrees Celsius.
You are provided with the function:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This function is used for converting temperatures from degrees Fahrenheit to degrees Celsius. Let's analyze the options:
1. Option 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 is a correct interpretation. The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes a temperature in Fahrenheit (denoted by [tex]\( F \)[/tex]) and converts it to Celsius (denoted by [tex]\( C \)[/tex]).
2. Option 2: [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( F \)[/tex] in degrees Fahrenheit when the input [tex]\( C \)[/tex] is in degrees Celsius.
- This is not correct because [tex]\( C(F) \)[/tex] is not a function to calculate Fahrenheit. Instead, it converts a Fahrenheit input into Celsius.
3. Option 3: [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Fahrenheit when the input [tex]\( F \)[/tex] is in degrees Celsius.
- This option is incorrect because the function actually provides a temperature output in Celsius, not Fahrenheit.
4. Option 4: [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( F \)[/tex] in degrees Celsius when the input [tex]\( C \)[/tex] is in degrees Fahrenheit.
- This is incorrect because it reverses the role of input and output. [tex]\( F \)[/tex] is the input in Fahrenheit, and [tex]\( C \)[/tex] is the output in Celsius.
After reviewing all options, we can determine that Option 1 is the best choice. It accurately describes the conversion process that the function performs:
[tex]\[ C(F) \][/tex] converts the input temperature in degrees Fahrenheit to an output temperature in degrees Celsius.
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- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees.
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