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

Option D -
`F(K)=(9)/(5)( K-273.15)+ 32`

Explanation:

Given : The function
`F(C)=(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)=(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)=(9)/(5)( K-273.15)+ 32`

`F(K)=(9)/(5)( K-273.15)+ 32`

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

Therefore, Option D is correct.