College

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!

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 Celsius using the function [tex]C(F) = \frac{5}{9}(F - 32)[/tex]. What does [tex]C(F)[/tex] represent?

A. [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.

B. [tex]C(F)[/tex] represents the output of the function [tex]F[/tex] in degrees Fahrenheit when the input [tex]C[/tex] is in degrees Celsius.

C. [tex]C(F)[/tex] represents the output of the function [tex]C[/tex] in degrees Fahrenheit when the input [tex]F[/tex] is in degrees Celsius.

D. [tex]C(F)[/tex] represents the output of the function [tex]F[/tex] in degrees Celsius when the input [tex]C[/tex] is in degrees Fahrenheit.

Answer :

Sure! Let's go through the options to determine what [tex]$C(F)$[/tex] represents:

The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].

This function is used to convert temperatures from degrees Fahrenheit ([tex]\(F\)[/tex]) to degrees Celsius ([tex]\(C\)[/tex]).

1. [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.

- Here, we input a temperature in degrees Fahrenheit ([tex]\(F\)[/tex]) into the function [tex]\(C(F) = \frac{5}{9}(F - 32)\)[/tex].
- The output, [tex]\(C(F)\)[/tex], gives us the temperature in degrees Celsius.
- This matches the purpose of the conversion formula, which is to convert from Fahrenheit to Celsius.

2. [tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Fahrenheit when the input [tex]$C$[/tex] is in degrees Celsius.

- This suggests that [tex]\(C(F)\)[/tex] would give a Fahrenheit output, which is incorrect since the formula is for converting to Celsius.

3. [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Fahrenheit when the input [tex]$F$[/tex] is in degrees Celsius.

- This implies that [tex]\(C(F)\)[/tex] outputs Fahrenheit temperatures from a Celsius input, which doesn't match the conversion function we were given.

4. [tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Celsius when the input [tex]$C$[/tex] is in degrees Fahrenheit.

- This also incorrectly describes the function; it suggests getting Celsius output from Fahrenheit input, but mentions a function [tex]$F$[/tex], which is not correct here.

Given these options, the first one accurately describes the function: [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents the conversion of a temperature from Fahrenheit to Celsius. Therefore, the correct choice 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.

We appreciate you taking the time to read 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. We hope the insights shared have been helpful in deepening your understanding of the topic. Don't hesitate to browse our website for more valuable and informative content!

Rewritten by : Batagu