Question

Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
A drawing of the side view of a set of 4 stairs. There are lines drawn to show a railing that is at the highest point of the stairs and labeled 36 inches.


Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs?


A.y = –3/4x + 36

B.y = –3x + 36

C.y = 3/4x + 36

D.y = 3x + 36

Answer 1

The function which can represent the height, y according to the horizontal distance, x is; Choice A; y = –3/4x + 36.

Which function can represent the height, y, according to the horizontal distance x, from the top of the stairs?

According to the task content; The railing will begin at a height of 36 inches and follow the slant of the stairs. On this note, it follows that the y-intercept of the function is 36.

Additionally, since the railings decreases 9 inches for every 12 horizontal inches, it follows that the slope, m = -9/12 = -3/4.

On this note, the required function is; A.y = –3/4x + 36

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