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.

Answer 1

Answer is A

Explanation:

Answer 2

`y = (-3)/(4)x + 36`

Explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x = from top of the stairs

based on the above information

Therefore the change in rate is

`(-9)/(12) = (-3)/(4)`

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

`m = (-3)/(4)`

where,

c = 36 inches

So, the function is

`y = (-3)/(4)x + 36`