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

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.

Answer 2

Graph which, represent the height of leaf hangs from a branch in feet as a function of time, in seconds, after leaving the branch is graph of option 4.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1.

A one-dimension figure that has no width. It is a combination of infinite points side by side.

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.

Let, y be the height and x be the time. It is known the equation of the line is given by

y = mx + c

Here m be the slope and c be the constant, which is given directly that is -0.25 then the equation will be,

$y = -0.25x + c$

At x = 0, y will be 12, then the equation will be

$12 = -0.25(0) + c$

$c = 12$

Thus, The equation can be given as,

$y = 0.25x + 12$

For y = 0, x will be      

$0 = -0.25x + 120.25x = 12$

$x = 48$

Thus, graph which, represent the height of leaf hangs from a branch in feet as a function of time, in seconds, after leaving the branch is graph of option 4.

More about the linear system, link is given below.

https://brainly.com/question/20379472