Question

Convert 45 degrees Fahrenheit to Celsius.

A) -9.4°C
B) 7.2°C
C) 30.6°C
D) 45.0°C

Answer 1

45 degrees Fahrenheit is approximately 7.2°C, so the correct answer is B) 7.2°C. A decrease of 40.0°F corresponds to approximately a 4.44°C decrease. The change in temperature in Fahrenheit is nine-fifths of the change in Celsius degrees.

Step-by-step explanation:

To convert 45 degrees Fahrenheit to Celsius, we use the formula: C = (F - 32) / 1.8, where F is the temperature in Fahrenheit and C is the temperature in Celsius. First, subtract 32 from 45, which gives you 13. Then, divide 13 by 1.8 to get approximately 7.22°C. Therefore, the correct answer is B) 7.2°C.

(a) When there is a decrease in temperature by 40.0°F, to calculate the decrease in Celsius, we use the same formula, which results in (40.0 - 32) / 1.8 = 8 / 1.8 ≈ 4.44°C.

(b) To show that any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees, consider the difference in temperature in Fahrenheit (∆F) and Celsius (∆C). The formula ∆F = ∆C × (9/5), therefore every 1°C change equals a 1.8°F change, which is nine-fifths.