Answer :
The temperature at noon is 0 degrees Fahrenheit, as it is the symmetric midpoint between the temperatures at noon and midnight, with a 20-degree difference.
The correct answer is (3) 0 degrees Fahrenheit.
The statement implies that the temperature stopped at a point equidistant from noon and midnight, suggesting a symmetric temperature change. If we assume that positive values represent an increase in temperature and negative values represent a decrease, the midpoint between noon and midnight would be the point where the temperature stops changing.
If the temperature stopped 20 degrees from both noon and midnight, and we represent the temperature at noon as (T), then the temperature at midnight would be (T - 20) degrees. The midpoint, where the temperature stops changing, is the average of these two values:
[tex]\[ \frac{T + (T - 20)}{2} \][/tex]
Solving this equation:
[tex]\[ \frac{2T - 20}{2} = T - 10 \][/tex]
The result is -10 degrees Fahrenheit, which represents the symmetric midpoint between noon and midnight. Therefore, the temperature at noon (T) is:
[tex]\[ T = -10 + 10 = 0 \, \text{degrees Fahrenheit} \][/tex]
In conclusion, the correct answer is (3) 0 degrees Fahrenheit, as it represents the temperature at noon based on the symmetric temperature change from both noon and midnight.
