To determine how a temperature change of 1°F compares with a temperature change of 1°C, we need to convert the temperature change from Fahrenheit to Celsius.
First, remember the formula for converting a change in temperature from Fahrenheit to Celsius:
[tex]\[ \Delta°C = (\Delta°F - 32) \times \frac{5}{9} \][/tex]
However, since we are dealing with a change in temperature, when converting 1°F change to Celsius, we use the simplified conversion formula:
[tex]\[ \Delta°C = \Delta°F \times \frac{5}{9} \][/tex]
Using this formula, we can convert a 1°F change to Celsius:
[tex]\[ 1°F \times \frac{5}{9} \approx 0.555555555556°C \][/tex]
Now, compare the temperature changes:
- 1°F change is approximately 0.5556°C
- 1°C change is 1°C
Clearly, 1°C is greater than 0.5556°C. Therefore, a temperature change of 1°C is greater than a temperature change of 1°F.
Thus, the correct answer is:
K A temperature change of 1°C is greater than a temperature change of 1°F.
