To find the rate at which the temperature was falling, we can calculate the temperature change per hour.
We know that the temperature fell by 4 degrees in \( \frac{3}{4} \) of an hour. To find the rate of temperature change per hour, we can use the formula:
\[ \text{Rate} = \frac{\text{Change in Temperature}}{\text{Time}} \]
First, we need to express \( \frac{3}{4} \) of an hour in decimal form, which is 0.75 hours.
Now we can calculate:
\[ \text{Rate} = \frac{-4 \text{ degrees}}{0.75 \text{ hours}} = -\frac{4}{0.75} \text{ degrees per hour} \]
Calculating \( \frac{4}{0.75} \):
\[ \frac{4}{0.75} = 4 \times \frac{100}{75} = 4 \times \frac{4}{3} = \frac{16}{3} \approx 5.33 \]
So, the temperature was falling at a rate of approximately \( -5.33 \) degrees per hour. We can express it as a positive value to represent the rate of change:
\[ \text{Rate} \approx 5.33 \text{ degrees per hour} \]
Thus, the temperature was falling at a rate of approximately \( 5.33 \) degrees per hour.
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