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?
Answers
Answer:
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Step-by-step explanation:
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Answer:
y=-3/4x+36
step by step explanation :since we are give one that the railing will begin at a height of 36 inches and follow the slant of the stairs which decreases 9 vertical inches for every 12 horizontal inches .
Thus the rate of change :-9/12=-3/4
rate of change represent the slope of line.
Since we are given that height Y of the the railing in inches according to the the horizontal distance in inches x from the top of the stairs.
And the the initial height of the the railing was 36 inches so so the function which would represent the situation can be Shown using the equation line :
y=mx+c
so m =-3/4
c=36 inches
so, the function :y=-3/4x+36
Hence the function which can represent the height, y of the railing in inches according to the horizontal distance in inches x from the top of the stairs :
y=-3/4x+36