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? A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (4, 20 ), (6, 14), and (12, 0). A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (0, 12), (8, 8), and (20, 2). A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (0, 16), (6, 8), and (12, 0).

From the complete information, 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.

Also, 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. On the last graph, it is 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 therefore correct.

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