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.

Step-by-step 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

It depicts the line sloping.

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

y = mx+c

where,

c = 36 inches

So, the function is

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values