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We need to find the rate of change when Ariel travels 400 miles in 8 hours.
Now, the rate is given by the next formula:
[tex]\text{Rate=}\frac{\text{ Distance}}{\text{Time}}[/tex]Replacing using the given values:
Distance = 400 miles
Time = 8 hours
Then:
[tex]\begin{gathered} \text{Rate}=\frac{400\text{ miles}}{8\text{ hours}} \\ \text{Rate}=50\text{ miles/hours} \end{gathered}[/tex]Hence, the answer is 50 miles per hour.