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 :
Certainly! To solve this problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] represents.
Let's break it down:
1. Understand the Formula:
- The function given, [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex], is a standard formula used for converting temperatures from degrees Fahrenheit to degrees Celsius.
- The formula works by first subtracting 32 from the Fahrenheit temperature. This adjustment accounts for the fact that 32 degrees Fahrenheit is the freezing point of water, which is 0 degrees Celsius.
- Then, multiplying the result by [tex]\(\frac{5}{9}\)[/tex] scales the adjusted temperature from the Fahrenheit scale to the Celsius scale.
2. Identify the Components:
- [tex]\( F \)[/tex] is the input to the function. It represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output of the function. It gives us the equivalent temperature in degrees Celsius.
3. Determine What [tex]\( C(F) \)[/tex] Represents:
- Since [tex]\( C(F) \)[/tex] provides the temperature in degrees Celsius when you input the temperature in degrees Fahrenheit, [tex]\( C(F) \)[/tex] represents the output in degrees Celsius for a given input [tex]\( F \)[/tex] in degrees Fahrenheit.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] 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.
Let's break it down:
1. Understand the Formula:
- The function given, [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex], is a standard formula used for converting temperatures from degrees Fahrenheit to degrees Celsius.
- The formula works by first subtracting 32 from the Fahrenheit temperature. This adjustment accounts for the fact that 32 degrees Fahrenheit is the freezing point of water, which is 0 degrees Celsius.
- Then, multiplying the result by [tex]\(\frac{5}{9}\)[/tex] scales the adjusted temperature from the Fahrenheit scale to the Celsius scale.
2. Identify the Components:
- [tex]\( F \)[/tex] is the input to the function. It represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output of the function. It gives us the equivalent temperature in degrees Celsius.
3. Determine What [tex]\( C(F) \)[/tex] Represents:
- Since [tex]\( C(F) \)[/tex] provides the temperature in degrees Celsius when you input the temperature in degrees Fahrenheit, [tex]\( C(F) \)[/tex] represents the output in degrees Celsius for a given input [tex]\( F \)[/tex] in degrees Fahrenheit.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] 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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