Answer :
If the temperature drops by 10°C, then the degree Fahrenheit fall would be 18 degrees.
To find out how many degrees Fahrenheit the temperature drops by when it decreases by 10°C, use the given points on the graph, (0, 32) and (10, 50), to determine the rate of change between Celsius and Fahrenheit.
Slope = (change in Fahrenheit) / (change in Celsius)
Using the given points:
Change in Fahrenheit = 50 - 32
= 18
Change in Celsius = 10 - 0
= 10
The slope (rate of change):
= 18 / 10
= 1.8
If the temperature drops by 10°C, multiply the rate of change by -10 to find how many degrees Fahrenheit the temperature drops by:
Drop in Fahrenheit:
= 1.8 * (-10)
= -18°F
Final answer:
A temperature decrease by 10°C equates to a decrease of 18°F, considering the conversion factor where 1°C is equivalent to 1.8°F.
Explanation:
The question asks: If the temperature drops by 10°C, how many degrees Fahrenheit does the temperature drop by? This involves understanding the relationship between Celsius and Fahrenheit scales. One degree Celsius is equivalent to 1.8 degrees Fahrenheit. Therefore, a drop in temperature by 10°C translates to a decrease in temperature by 18°F since 10°C * 1.8 = 18°F.
