Question

The function C(F) =5/9 (F - 32) is used to convert temperature from Fahrenheit (F) to Celsius (C).

The function K(C)= C + 273.15 is used to convert temperature from Celsius (C) to the Kelvin (K) scale. Write a function to convert 77°F to the Kelvin scale.

To express temperature in Kelvin as a function of Fahrenheit, compose the functions as(_*_)(_).

Now, derive the function described above and use it to express 77°F as ___K.

Answer 1

K

C

F

298.15

Explanation:

Answer 2

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

K(F)=298.15k

Explanation:

C(F) =5/9 (F - 32) is used to convert temperature from Fahrenheit (F) to Celsius (C).

C(F) =5/9 (F - 32)

The function K(C)= C + 273.15 is used to convert temperature from Celsius (C) to the Kelvin (K) scale.

K(C)= C + 273.15

K(c) - 273= C

Equating both values of C

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

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

If F = 77°F

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

K(F) = 5/9(77-32) + 273.15

K(F) = 5/9(45) +273.15

K(F) = 25+273.15

K(F)=298.15k