Question

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?
A. 9/5 (K - 273.15)
B. 9/5 C - 273.15
C. 9/5 C + 32 - 273.15
D. 9/5 ( K - 273.15) + 32

Answer 1

The correct answer is D. 

Answer 2

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.