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 question step-by-step to understand what [tex]$C(F)$[/tex] represents.
The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
### Step 1: Understanding the Function
- [tex]\( C(F) \)[/tex]: This is the function notation. Here, [tex]\( C \)[/tex] is the function that takes an input [tex]\( F \)[/tex].
- [tex]\( F \)[/tex]: This represents the temperature in degrees Fahrenheit. It's the input to the function.
- [tex]\( C(F) \)[/tex]: This is the output of the function, representing what you'll find when you input [tex]\( F \)[/tex] into the function.
### Step 2: What Does the Function Do?
The function converts a temperature from Fahrenheit to Celsius. It does so by:
- Subtracting 32 from the Fahrenheit temperature ([tex]\( F - 32 \)[/tex]).
- Multiplying the result by [tex]\( \frac{5}{9} \)[/tex].
This is a standard formula to convert Fahrenheit to Celsius.
### Step 3: What Does [tex]\( C(F) \)[/tex] Represent?
From the function, we can see:
- The input [tex]\( F \)[/tex] is in degrees Fahrenheit.
- The expression [tex]\(\frac{5}{9}(F - 32)\)[/tex] gives us the temperature in degrees Celsius.
Therefore, [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex], which is the temperature in degrees Celsius after converting it from Fahrenheit.
### Conclusion
Based on this understanding, 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.
The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
### Step 1: Understanding the Function
- [tex]\( C(F) \)[/tex]: This is the function notation. Here, [tex]\( C \)[/tex] is the function that takes an input [tex]\( F \)[/tex].
- [tex]\( F \)[/tex]: This represents the temperature in degrees Fahrenheit. It's the input to the function.
- [tex]\( C(F) \)[/tex]: This is the output of the function, representing what you'll find when you input [tex]\( F \)[/tex] into the function.
### Step 2: What Does the Function Do?
The function converts a temperature from Fahrenheit to Celsius. It does so by:
- Subtracting 32 from the Fahrenheit temperature ([tex]\( F - 32 \)[/tex]).
- Multiplying the result by [tex]\( \frac{5}{9} \)[/tex].
This is a standard formula to convert Fahrenheit to Celsius.
### Step 3: What Does [tex]\( C(F) \)[/tex] Represent?
From the function, we can see:
- The input [tex]\( F \)[/tex] is in degrees Fahrenheit.
- The expression [tex]\(\frac{5}{9}(F - 32)\)[/tex] gives us the temperature in degrees Celsius.
Therefore, [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex], which is the temperature in degrees Celsius after converting it from Fahrenheit.
### Conclusion
Based on this understanding, 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.
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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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