The width, y, of a rectangle with a fixed area varies inversely with its length, x. The width is 3 inches when the length is 14 inches. Find the width when the length is 30 inches.

The width of the rectangle would be as follows:

 inches

Inverse proportion occurs when one value increases and the other decreases.

The width, , of a rectangle with a fixed area varies inversely with its length, .

So, where is the constant.

The width is inches when the length is inches.

So,

Therefore, inches

Thus, Width is inches when the length is inches.

Find out more information about inverse proportion here: link

Step-by-step explanation:

Given

Required

Find y when x = 30

Being an inverse variation, we have:

Convert the variation to an equation

First, we solve for k

Make k the subject to solve for k

So, the value of k is:

To solve for y when x = 30

Substitute 30 for x and 42 for k in

Make y the subject

5/12, or 5: 12

step-by-step explanation:

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4