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Thank you for visiting Siera calculated her hometown s average high temperature in degrees Fahrenheit for one month 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!

Siera calculated her hometown's average high temperature in degrees Fahrenheit for one month. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function [tex]$c(f) = \frac{5}{9}(f - 32)$[/tex].

What does [tex]$c(f)$[/tex] represent?

A. The temperature of [tex][tex]$f$[/tex][/tex] degrees Fahrenheit converted to degrees Celsius.
B. The temperature of [tex]$f$[/tex] degrees Celsius converted to degrees Fahrenheit.
C. The temperature of [tex]$c$[/tex] degrees Fahrenheit converted to degrees Celsius.
D. The temperature of [tex][tex]$c$[/tex][/tex] degrees Celsius converted to degrees Fahrenheit.

Answer :

To solve this question, we need to understand what the function [tex]\( c(f) = \frac{5}{9}(f-32) \)[/tex] represents.

1. Identify the variables and function:
- [tex]\( c(f) \)[/tex] is a function that starts with [tex]\( f \)[/tex], which represents a temperature in degrees Fahrenheit.
- The expression [tex]\( \frac{5}{9}(f-32) \)[/tex] converts this temperature into another unit, specifically degrees Celsius.

2. Understand the conversion process:
- The formula [tex]\( c(f) = \frac{5}{9}(f-32) \)[/tex] is a well-known conversion formula used to change a temperature from degrees Fahrenheit to degrees Celsius.
- The first step is to subtract 32 from the Fahrenheit temperature ([tex]\( f-32 \)[/tex]). This adjusts for the offset in the zero points between the two scales.
- Next, the result is multiplied by [tex]\( \frac{5}{9} \)[/tex]. This scales the difference to reflect the proportion of a degree in the Celsius scale compared to the Fahrenheit scale.

3. Determine what [tex]\( C(F) \)[/tex] represents:
- Since the function starts with a Fahrenheit temperature [tex]\( f \)[/tex] and outputs a result in Celsius, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

4. Conclusion:
- The correct interpretation of [tex]\( C(F) \)[/tex] is: the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

Hence, the correct choice is: the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

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Rewritten by : Jeany