Answer:
Refer to the explanation below.
Step-by-step explanation:
We start with a small aircraft that flies 760,320 yards within a duration of 2 hours.
A)
The formula for distance is:

To isolate the rate r, we divide both sides by time:

B)
To calculate the rate in yards per hour, divide the total yards by the hours taken. Therefore:

Perform division:

Thus, the aircraft speeds at 380,160 yards every hour.
C)
There are 1,760 yards in a mile.
To compute the speed in miles per hour, we apply dimensional analysis.
We recognize the rate is 380,160 yards per hour:

To cancel "yards" from the numerator, we multiply by 1 mi/1,760 yards. Therefore:

This eliminates yards:

Now, multiply the values across:

Then divide:

The final rate for the plane is 216 miles per hour.
D)
Miles are a more appropriate measurement in this context because the distance is substantial, making it impractical to express using yards. A rate of 380,160 yards per hour is excessive, whereas 216 miles per hour provides a clearer understanding.