Final answer:
A temperature increase by 10 degrees Celsius is equivalent to an increase of 18 degrees Fahrenheit. A temperature decrease of 40.0 degrees Fahrenheit is equivalent to a temperature decrease of approximately 22.22 degrees Celsius. Any change in Celsius can be converted to Fahrenheit by multiplying by 1.8 or dividing by the same factor for the reverse conversion.
Step-by-step explanation:
Temperature Increase Conversion from Celsius to Fahrenheit
To convert a temperature increase from degrees Celsius to degrees Fahrenheit, we use the relationship that one degree on the Celsius scale is equivalent to 1.8 degrees on the Fahrenheit scale. Therefore, a temperature increase by 10 degrees Celsius is equivalent to a temperature increase in Fahrenheit as follows:
(10 °C) × (1.8 °F/°C) = 18 °F
The temperature increase in degrees Fahrenheit is 18 degrees.
Temperature Decrease Conversion from Fahrenheit to Celsius
Conversely, to convert a temperature decrease in Fahrenheit to a decrease in Celsius, we use the reverse of the above relationship. A temperature decrease of 40.0 degrees Fahrenheit is equivalent to a temperature decrease in Celsius as follows:
(40.0 °F) × (1 °C/1.8 °F) ≈ 22.22 °C
The temperature decrease in degrees Celsius is approximately 22.22 degrees.
General Conversion Formula
The general formula to convert a change in temperature from Fahrenheit to Celsius or vice versa is based on the relationship that an increase or decrease in Fahrenheit is nine-fifths the change in Celsius degrees.