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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.

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. Which is the correct function for converting temperature from Kelvin to Fahrenheit?

Learn how to convert temperature from Kelvin to Fahrenheit using the formula F(K) = 9/5 * (K - 273.15) + 32. This step-by-step solution combines the Celsius to Fahrenheit and Kelvin to Celsius conversion formulas. Ideal for students in Grades 9-12.

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