6. the table below represents the height of a bird above the ground during flight, with p(t) representing…

6. the table below represents the height of a bird above the ground during flight, with p(t) representing height in feet and t representing time in seconds. t p(t) 0 6.71 3 6.26 4 6 9 3.41 calculate the average rate of change from 3 to 9 seconds, in feet per second.

6. the table below represents the height of a bird above the ground during flight, with p(t) representing height in feet and t representing time in seconds. t p(t) 0 6.71 3 6.26 4 6 9 3.41 calculate the average rate of change from 3 to 9 seconds, in feet per second.

Answer

Explanation:

Step1: Recall average - rate - of - change formula

The formula for the average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 3$, $b = 9$, $P(3)=6.26$ and $P(9)=3.41$.

Step2: Substitute values into the formula

We substitute the values into the formula: $\frac{P(9)-P(3)}{9 - 3}$. [ \begin{align*} \frac{P(9)-P(3)}{9 - 3}&=\frac{3.41-6.26}{9 - 3}\ &=\frac{- 2.85}{6}\ &=-0.475 \end{align*} ]

Answer:

$-0.475$