The relationship between Fahrenheit (°F) and Celsius (°C) is given by the linear equation:

$F = \frac{9}{5}C + 32$

Explanation:

• The coefficient $\frac{9}{5}$ represents the rate of change between the Celsius and Fahrenheit scales. For every 1-degree increase in Celsius, the Fahrenheit temperature increases by $\frac{9}{5}$ degrees.
• The constant term $+32$ is the offset that accounts for the fact that 0°C corresponds to 32°F (the freezing point of water).

If you'd like, I can demonstrate how to convert specific temperatures between the two scales or go further into the mathematics behind this equation.

Would you like to explore any details or ask any questions?

Here are 5 questions related to this concept:

1. How would you convert a temperature of 25°C to Fahrenheit?
2. What is the Celsius equivalent of 100°F?
3. Why does the relationship between Fahrenheit and Celsius involve a linear function?
4. How can you derive this formula from basic principles of temperature conversion?
5. What are the historical reasons for choosing the constants 32 and $\frac{9}{5}$?

Tip: To reverse the formula and convert from Fahrenheit to Celsius, use the equation $C = \frac{5}{9}(F - 32)$.