Question

A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could represent the leaf’s height in feet as a function of time, in seconds, after leaving the branch?
ASAP PLEASE ANSWER ANYONE PLEASE

Answer 1

It would be the last graph.
The height of the leaf is falling at 0.25 per second, therefore it must reach 1 feet per 4 seconds, and since the intervals on this graph are by two, I would make it 2 feet per 8 seconds to make it easier. If we look on all of the graphs where 8 seconds is, we see on the last graph that it has fallen two feet in eight seconds.

Answer 2

The correct answer is:

The last graph.

Explanation:

The leaf starts at 12 feet above the ground.  This eliminates the first and third graph, leaving the second and last.

The leaf falls at 0.25 ft/sec.  This means it would take 4 seconds for the leaf to fall 1 foot.  

On the second graph, when we go over to 4 seconds and then up, the line is at 10 feet; this means it fell 2 feet in 4 seconds.  This is too fast.

On the last graph, going over to 4 seconds and then up, the line is at 11 feet; this means it fell 1 foot in 4 seconds.  This is correct.