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 :
To understand what [tex]\( C(F) \)[/tex] represents, let's break down the given function and options:
1. The Function:
- The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- This is the formula used to convert a temperature in degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]).
2. Understanding the Function:
- The input to the function is [tex]\( F \)[/tex], which stands for the temperature in degrees Fahrenheit.
- The function calculates the corresponding temperature in degrees Celsius, which is the output and denoted by [tex]\( C(F) \)[/tex].
3. Identifying the Correct Interpretation:
- The key point is recognizing that the input ([tex]\( F \)[/tex]) is in Fahrenheit and the output ([tex]\( C(F) \)[/tex]) is in Celsius.
4. Option Analysis:
- 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 option is correct because it accurately describes the conversion of Fahrenheit to Celsius using the function.
- 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 incorrect, as [tex]\( C(F) \)[/tex] actually converts from Fahrenheit to Celsius.
- 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 is incorrect, as the function converts to Celsius, not Fahrenheit.
- 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 confuses the roles of [tex]\( C \)[/tex] and [tex]\( F \)[/tex].
Thus, the correct interpretation is that [tex]\( C(F) \)[/tex] represents the output temperature in degrees Celsius when the input temperature is in degrees Fahrenheit. Therefore, Option 1 is the correct choice.
1. The Function:
- The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- This is the formula used to convert a temperature in degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]).
2. Understanding the Function:
- The input to the function is [tex]\( F \)[/tex], which stands for the temperature in degrees Fahrenheit.
- The function calculates the corresponding temperature in degrees Celsius, which is the output and denoted by [tex]\( C(F) \)[/tex].
3. Identifying the Correct Interpretation:
- The key point is recognizing that the input ([tex]\( F \)[/tex]) is in Fahrenheit and the output ([tex]\( C(F) \)[/tex]) is in Celsius.
4. Option Analysis:
- 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 option is correct because it accurately describes the conversion of Fahrenheit to Celsius using the function.
- 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 incorrect, as [tex]\( C(F) \)[/tex] actually converts from Fahrenheit to Celsius.
- 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 is incorrect, as the function converts to Celsius, not Fahrenheit.
- 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 confuses the roles of [tex]\( C \)[/tex] and [tex]\( F \)[/tex].
Thus, the correct interpretation is that [tex]\( C(F) \)[/tex] represents the output temperature in degrees Celsius when the input temperature is in degrees Fahrenheit. Therefore, Option 1 is the correct choice.
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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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