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The function F(C)= 9/5C + 32 is used to convert temperature from Celsius (C) to Fahrenheit (F). The function C(K) = K − 273.15 is used to convert temperature from Kelvin (K) to Celsius. Which is the correct function for converting temperature from Kelvin to Fahrenheit?

A9/5 (K - 273.15)
B9/5 C - 273.15
C9/5 C + 32 - 273.15
D9/5 ( K - 273.15) + 32

Verified Answer :

rainwatertheo

the correct answer is D.

Answer:

Option D - \(F(K)=\frac{9}{5}( K-273.15)+ 32\)

Step-by-step explanation:

Given :  The function \(F(C)=\frac{9}{5}C + 32\) is used to convert temperature from Celsius (C) to Fahrenheit (F).

The function \(C(K) = K-273.15\) is used to convert temperature from Kelvin (K) to Celsius.

To find : Which is the correct function for converting temperature from Kelvin to Fahrenheit?        

Solution :

The function used to convert  Celsius (C) to Fahrenheit (F) is

\(F(C)=\frac{9}{5}C + 32\)  

The function used to convert  Kelvin (K) to Celsius(C) is

\(C(K) = K-273.15\)

For the function used to convert  temperature from Kelvin to Fahrenheit

Substitute the C(K) in F(C), to get the relation between Kelvin and Fahrenheit.

\(F(C)=\frac{9}{5}( K-273.15)+ 32\)    

\(F(K)=\frac{9}{5}( K-273.15)+ 32\)        

F(K) function is used to convert Kelvin to Fahrenheit.

Therefore, Option D is correct.        

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