Final answer:
A 10°C decrease in temperature is equivalent to an option B 18°F decrease in temperature because 1 degree Celsius is 1.8 times larger than 1 degree Fahrenheit.
Step-by-step explanation:
A 10 degree Celsius (C) fall in temperature is equal to an 18 degree Fahrenheit (F) fall in temperature. This is because the Celsius scale and Fahrenheit scale measure temperatures differently, with a 1°C difference being equivalent to a 1.8°F difference. Therefore, a temperature change of 10°C would correspond to a 10 * 1.8°F = 18°F change in the Fahrenheit scale. The correct answer to the student's question is B. 18° F fall in temperature. To show the conversion process:
- Determine the temperature change in degrees Celsius: 10°C.
- Multiply this value by 1.8 (since 1.8°F = 1°C): 10°C * 1.8 = 18°F.
- Thus, a 10°C fall is equal to an 18°F fall in temperature.
So, for every 1 degree Celsius change, we have a change of 1.8 degrees Fahrenheit.
Since the question states that the temperature has fallen by 10°C, we can multiply this by the conversion factor:
10°C * 1.8°F/°C = 18°F
Therefore, a 10°C fall in temperature is equal to a 18°F fall in temperature, which is option B.