The question in your image asks for the correct formula to convert temperature from Kelvin (K) to Fahrenheit (F).

We know:

• The function to convert from Celsius (C) to Fahrenheit (F) is $F(C) = \frac{9}{5}C + 32$.
• The function to convert from Kelvin (K) to Celsius (C) is $C(K) = K - 273.15$.

To find the function that converts Kelvin to Fahrenheit, combine these two steps:

1. First, convert Kelvin to Celsius: $C = K - 273.15$
2. Then, use the Celsius to Fahrenheit conversion: $F = \frac{9}{5}C + 32$

Substitute the expression for $C$ from step 1 into the Celsius to Fahrenheit formula: $F = \frac{9}{5}(K - 273.15) + 32$

This matches option D in your question.

Thus, the correct answer is:

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

Would you like more details on this conversion process, or have any questions?

Here are 5 related questions for further practice:

1. What is the formula to convert Fahrenheit to Kelvin?
2. How do you convert from Fahrenheit to Celsius?
3. If a temperature is 300 K, what is it in Fahrenheit?
4. What is the boiling point of water in Kelvin, Celsius, and Fahrenheit?
5. Can you derive a general formula to convert Fahrenheit directly to Kelvin?

Tip: Always check if conversions between temperature scales involve both multiplication and addition/subtraction.