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 explore what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used for and what it represents.
1. Understanding the Function:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a mathematical expression used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
- Here, [tex]\( F \)[/tex] is the temperature in Fahrenheit, which we input into the function.
- [tex]\( C(F) \)[/tex] calculates the corresponding temperature in Celsius.
2. Breaking Down the Formula:
- The formula subtracts 32 from the Fahrenheit temperature. This is because 32°F corresponds to 0°C, which is the freezing point of water.
- The result is then multiplied by [tex]\( \frac{5}{9} \)[/tex], which is the ratio used to convert the scale from Fahrenheit to Celsius.
3. What Does [tex]\( C(F) \)[/tex] Represent?
- Since [tex]\( C(F) \)[/tex] is giving us a value in Celsius when we start with a value in Fahrenheit, it represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
Given these steps, the correct interpretation is that [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 explanation should help clarify how Fahrenheit is converted to Celsius using this formula.
1. Understanding the Function:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a mathematical expression used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
- Here, [tex]\( F \)[/tex] is the temperature in Fahrenheit, which we input into the function.
- [tex]\( C(F) \)[/tex] calculates the corresponding temperature in Celsius.
2. Breaking Down the Formula:
- The formula subtracts 32 from the Fahrenheit temperature. This is because 32°F corresponds to 0°C, which is the freezing point of water.
- The result is then multiplied by [tex]\( \frac{5}{9} \)[/tex], which is the ratio used to convert the scale from Fahrenheit to Celsius.
3. What Does [tex]\( C(F) \)[/tex] Represent?
- Since [tex]\( C(F) \)[/tex] is giving us a value in Celsius when we start with a value in Fahrenheit, it represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
Given these steps, the correct interpretation is that [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 explanation should help clarify how Fahrenheit is converted to Celsius using this formula.
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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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