Respuesta :
Answer:
Option D
Explanation:
Since the leaf begins falling from a height of 12 feet:
This eliminates options A and C,
Next, the rate at which the leaf falls is 0.25 feet per second.
In graph B, we have the point (0,12) and (20,2).
[tex]\begin{gathered} \text{Rate}=\frac{2-12}{20-0}=-\frac{10}{10}=-1 \\ \text{The leaf falls at 1 foot per second} \end{gathered}[/tex]In graph D, we have the point (0,12) and (16,8)
[tex]\begin{gathered} \text{Rate}=\frac{8-12}{16-0}=-\frac{4}{16}=-0.25 \\ \text{The leaf falls at 0.25 feet per second} \end{gathered}[/tex]The graph that could represent the leaf's height in feet as a function of time, in seconds, after leaving the branch is Graph D (the last graph).
