Question

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? y = â€"startfraction 3 over 4 endfractionx 36 y = â€"3x 36 y = startfraction 3 over 4 endfractionx 36 y = 3x 36

Answer 1

The function representing the height is y = 36 - $\frac{3}{4} x$.

What is function?

A formula, rule, or legislation that specifies how one variable (the independent variable) and another variable are related (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

What is fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given that,

Height of rails h is 36in.

The rate of decrement is 9 inches for every 12 horizontal inches,

We represent the rate (r) as a fraction.

r = $-\frac{9}{12}$ (negative, because it decreases),

r = $-\frac{3}{4}$,

So, the function is

Y = h + r × x

Where,

X is distance from top

So, y = 36 $-\frac{3}{4}x$

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