The appropriate domain and the range are x > 0 and y > 0, respectively and the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.
How to determine the reasonable domain?
The function is given as:
xy = 20
The value of x and y cannot be negative and they cannot be 0.
This means that the domain and the range are x > 0 and y > 0, respectively
The graph of the function
See attachment for the graph of xy = 20
The estimate of the speed
We have:
Distance = 20 miles
Time = 8 hours
The speed is calculated as;
Speed = Distance/Time
This gives
Speed = 20/8
Evaluate
Speed = 2.5 miles per hour
Hence, the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.
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