To find the change in air temperature per hour during the storm, you need to divide the total change in temperature by the duration of the storm.
The total change in temperature is \(-3\frac{3}{4}\) degrees, which is the same as \(-\frac{15}{4}\) when converted to an improper fraction.
The duration of the storm is 10 hours.
Now, you can calculate the change in temperature per hour:
\[ \text{Change per hour} = \frac{-\frac{15}{4}}{10} = -\frac{15}{4} \times \frac{1}{10} = -\frac{15}{40} = -\frac{3}{8} \]
Thus, the air temperature changed by \(-\frac{3}{8}\) degrees each hour.
None of the provided responses give this correct calculation. The correct answer should state:
"The air temperature changed by \(-\frac{3}{8}\) degrees every hour."