Answer:
Option D - [tex]F(K)=\frac{9}{5}( K-273.15)+ 32[/tex]
Step-by-step explanation:
Given : The function [tex]F(C)=\frac{9}{5}C + 32[/tex] is used to convert temperature from Celsius (C) to Fahrenheit (F).
The function [tex]C(K) = K-273.15[/tex] 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
[tex]F(C)=\frac{9}{5}C + 32[/tex]
The function used to convert Kelvin (K) to Celsius(C) is
[tex]C(K) = K-273.15[/tex]
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.
[tex]F(C)=\frac{9}{5}( K-273.15)+ 32[/tex]
[tex]F(K)=\frac{9}{5}( K-273.15)+ 32[/tex]
F(K) function is used to convert Kelvin to Fahrenheit.
Therefore, Option D is correct.
