Answer :
Final answer:
The temperature of 45 degrees Fahrenheit is equivalent to approximately (C)7 degrees Celsius after applying the conversion formula (C = ⅝(F - 32)). Additionally, a change in Fahrenheit degrees is nine-fifths the change in Celsius degrees.
Explanation:
To convert degrees Fahrenheit to degrees Celsius, use the formula:
C = ⅝(F - 32)
Where F is the temperature in Fahrenheit and C is the temperature in Celsius.
For a refrigerator temperature of 45 degrees Fahrenheit:
C = ⅝(45 - 32)
C = ⅝(13)
C = 7.22, which rounds to 7 degrees Celsius.
For the change in temperature:
(a) If the temperature drops by 40.0 degrees Fahrenheit, the decrease in Celsius is calculated as follows:
⅝(40) = 22.22 degrees Celsius.
(b) To show that any change in Fahrenheit is nine-fifths the change in Celsius degrees:
If ΔF is the change in Fahrenheit and ΔC is the change in Celsius:
ΔF = (9/5)ΔC
This is derived from the conversion formula mentioned at the beginning.
