Using the table, the average rate of change from 3 to 9 seconds is of -0.475 feet per second.
The average rate of change of a function P(x) over an interval [a,b] is given by:
[tex]A = \frac{P(b) - P(a)}{b - a}[/tex]
In this problem, we want the rate from 3 to 9 seconds, hence [tex]a = 3, b = 9[/tex].
- From the table, [tex]P(3) = 6.26, P(9) = 3.41[/tex], hence:
[tex]A = \frac{3.41 - 6.26}{9 - 3} = -0.475[/tex]
Considering the units, the average rate of change from 3 to 9 seconds is of -0.475 feet per second.
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