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? 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). 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, 10), and (16, 8).

Answer 1

the answer is D

Explanation:

A line is passing through (0, 12), (8, 10), and (16, 8).

Answer 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, 12), (8, 10), and (16, 8).

Explanation:

The y-intercept of the graph is the height of the leaf at the beginning, that is, 12 ft. This means that point (0, 12) is on the line.

The leaf falls to the ground at a rate of 0.25 feet per second, this means that after 8 seconds, the leaf travel 8*0.25 = 2 ft. Given that it started at 12 ft, its height is 12 - 2 = 10 ft. In other words, the point (8, 10) is on the line. Similarly, its height after 16 seconds is 12 - 16*0.25 = 8 ft, that is, the point (16, 8) is on the line.