Final answer:
The corresponding change in temperature in Celsius is -2.778°C, and in Kelvin is 299.817 K.
Step-by-step explanation:
To convert a change in temperature from Fahrenheit to Celsius, you use the formula (°F - 32) / 1.8. Applying this formula to a 27°F increase in temperature, we get (27 - 32) / 1.8 = -2.778°C. Therefore, the corresponding change in temperature in Celsius is -2.778°C. To convert a change in temperature from Fahrenheit to Kelvin, you use the formula (°F + 459.67) / 1.8. Applying this formula to a 27°F increase in temperature, we get (27 + 459.67) / 1.8 = 299.817 K. Therefore, the corresponding change in temperature in Kelvin is 299.817 K.