Answer :
A decrease of 40.0 Fahrenheit degrees corresponds to a decrease of 22.22 Celsius degrees, which demonstrates the nine-fifths relationship between the temperature scales.
Temperature Conversion from Fahrenheit to Celsius
When dealing with a decrease of 40.0 Fahrenheit degrees, we can calculate the equivalent decrease in Celsius. For conversion, we know that 1 Fahrenheit degree equals 5/9 Celsius degrees. Therefore, a decrease of 40.0 Fahrenheit degrees is:
40.0 × (5/9) = 22.22 Celsius degrees (rounded to two decimal places).
To show that any change in temperature in Fahrenheit is nine-fifths the change in Celsius degrees, we can use the ratio of degree sizes: 1 Fahrenheit degree is 5/9 of a Celsius degree. This ratio can be expressed as:
( Change in Fahrenheit / Change in Celsius ) = (9/5)
Thus, for a change of 40.0 Fahrenheit degrees, the Celsius change is:
40.0 × (5/9) = 22.22 Celsius degrees, demonstrating the nine-fifths relationship.
