Average rate of change from 3 to 9 seconds is -0.475 feet per second
What is Average rate of change?
It is a measure of how much the function changed per unit, on average, over that interval
Given,
P(t) represents the height in feet and t represents the time in second
At t= 3 second, P(t) = 6.26 feet
At t=9 second, P(t) = 3.41 feet
Average rate of change = [tex]\frac{P(b)-P(a)}{b-a}[/tex]
Substitute the values in the equation
Average rate of change = [tex]\frac{P(9)-P(3)}{9-3}[/tex]
[tex]=\frac{3.41-6.26}{9-3}\\=\frac{-2.85}{6}\\[/tex]
= -0.475 feet per second
Hence, the Average rate of change from 3 to 9 seconds is -0.475 feet per second
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