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, let's break down the function:
The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
Here's how the conversion works:
1. Subtract 32 from the Fahrenheit temperature: This step adjusts the Fahrenheit temperature to align with the Celsius scale's starting point, as 32°F is equivalent to 0°C on the Celsius scale.
2. Multiply by [tex]\(\frac{5}{9}\)[/tex]: This factor adjusts for the different scaling between the Fahrenheit and Celsius temperature scales. Each degree on the Fahrenheit scale is only 5/9 of a degree on the Celsius scale.
Given these steps, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius when you start with a temperature of [tex]\( F \)[/tex] degrees Fahrenheit. Therefore, the correct interpretation is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This means that when you input a Fahrenheit temperature into the function [tex]\( C(F) \)[/tex], you will be provided with the equivalent temperature in Celsius.
The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
Here's how the conversion works:
1. Subtract 32 from the Fahrenheit temperature: This step adjusts the Fahrenheit temperature to align with the Celsius scale's starting point, as 32°F is equivalent to 0°C on the Celsius scale.
2. Multiply by [tex]\(\frac{5}{9}\)[/tex]: This factor adjusts for the different scaling between the Fahrenheit and Celsius temperature scales. Each degree on the Fahrenheit scale is only 5/9 of a degree on the Celsius scale.
Given these steps, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius when you start with a temperature of [tex]\( F \)[/tex] degrees Fahrenheit. Therefore, the correct interpretation is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This means that when you input a Fahrenheit temperature into the function [tex]\( C(F) \)[/tex], you will be provided with the equivalent temperature in Celsius.
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