Thank you for visiting 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 designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To understand what [tex]\( C(F) \)[/tex] represents in the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], let's break down the details:
1. Understanding the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert a temperature from degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]).
- It adjusts for the offset of the freezing point of water, which is 32 degrees Fahrenheit, and applies a conversion factor of [tex]\(\frac{5}{9}\)[/tex] to account for the difference in size of the Fahrenheit and Celsius degrees.
2. Identifying What [tex]\( C(F) \)[/tex] Represents:
- In the expression [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], [tex]\( F \)[/tex] refers to the temperature in degrees Fahrenheit you want to convert.
- By substituting the Fahrenheit temperature ([tex]\( F \)[/tex]) into the formula, you apply the conversion process which outputs the corresponding temperature in degrees Celsius.
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature that was originally measured in degrees Fahrenheit, now converted into degrees Celsius.
3. Conclusion:
- Based on this understanding, the correct interpretation is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This explanation clarifies that [tex]\( C(F) \)[/tex] is a function designed to take a Fahrenheit temperature and convert it into a Celsius temperature, using the given formula.
1. Understanding the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert a temperature from degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]).
- It adjusts for the offset of the freezing point of water, which is 32 degrees Fahrenheit, and applies a conversion factor of [tex]\(\frac{5}{9}\)[/tex] to account for the difference in size of the Fahrenheit and Celsius degrees.
2. Identifying What [tex]\( C(F) \)[/tex] Represents:
- In the expression [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], [tex]\( F \)[/tex] refers to the temperature in degrees Fahrenheit you want to convert.
- By substituting the Fahrenheit temperature ([tex]\( F \)[/tex]) into the formula, you apply the conversion process which outputs the corresponding temperature in degrees Celsius.
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature that was originally measured in degrees Fahrenheit, now converted into degrees Celsius.
3. Conclusion:
- Based on this understanding, the correct interpretation is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This explanation clarifies that [tex]\( C(F) \)[/tex] is a function designed to take a Fahrenheit temperature and convert it into a Celsius temperature, using the given formula.
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Rewritten by : Jeany
