Short Answer 
To convert Fahrenheit to Celsius, use the formula C = (F Р32) * 5/9. A temperature decrease of 40¬∞F equates to approximately 4.44¬∞C, illustrating the consistent relationship between changes in Fahrenheit and Celsius, where ŒiC = ŒiF * 5/9.
Step 1: Understanding the Conversion Formula
To convert a temperature from Fahrenheit (¬∞F) to Celsius (¬∞C), use the formula C = (F Р32) * 5/9. This formula helps find the Celsius equivalent of any temperature in Fahrenheit. By substituting values into the equation, you can calculate how much colder or hotter it is in Celsius.
Step 2: Calculating the Temperature Decrease
When the temperature decreases by 40¬¨‚àûF, you can find the equivalent decrease in Celsius using the formula. Here’s how to compute it:
- Subtract 32 from 40¬∞F: (40 Р32) = 8
- Multiply the result by 5/9: 8 * 5/9 = 40/9
- The final result, approximately 4.44°C, is the decrease in Celsius.
Step 3: Understanding Temperature Change Relationship
The relationship between Fahrenheit and Celsius changes is defined by the conversion factor. Specifically, any change in Fahrenheit (ŒiF) is nine-fifths the change in Celsius (ŒiC). This means:
- ŒiC = (ŒiF) * 5/9
- Rearranging gives us ŒiF = ŒiC * 9/5
- This confirms that alterations in temperature are consistent across both scales.