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 = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36

Answer 1

Answer:

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

Step-by-step explanation:

The missing parameters are:

$h = 36in$ --- height of rails

The rate of decrement is: 9 $inches$ for $every$ 12 $horizontal$ $inches.$

Required

The function

First, we represent the rate (r) as a fraction.

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

Simplify

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

So, the function is:

$y = h + r * x$

Where:

$x \to$ distance from top

So, we have:

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