Answer:
0.67 million miles per day
Explanation:
You want the average rate of change of the function d(t) = ∛(6t²) on the interval [4, 8], where d is in millions of miles, and t is in days.
Average rate of change
The average rate of change of the function on the interval [a, b] is given by ...
rate of change = (d(b) -d(a))/(b -a)
As the table in the attachment shows, this is approximately ...
rate of change = (7.268 -4.579)/(8 -4) ≈ 0.67
The average rate of change on the interval 4 ≤ t ≤ 8 is about 0.67 million miles per day.
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Additional comment
Mercury has an orbit of about 88 days at a distance of roughly 36 million miles from the Sun. Already at that distance, the General Theory of Relativity comes into play, making predictions from Newtonian physics somewhat problematic. It is unlikely this formula has any relation to reality for t much less than 200.
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