Question

The pressure p(in lbs/in^2) that a 160 pound persons shoe exerts on the ground when walking varies inversely with the area A(in in^2) of the sole of the shoe when the shoes have a sole area of 40 in^2 The pressure is 4 lbs/in^2 find equation that relates these variables

P=

Answer 1

The first thing we must do for this case is to define variables.
We have then:
P: pressure
A: Area of the sole of the shoe
Since the variation is inverse, we have an equation of the form:

`P = k / A`
We must find the value of k.
For this, we use the following data:
when the shoes have a sole area of 40 in ^ 2 The pressure is 4 lbs / in ^ 2
Substituting values we have:

`4 = k / 40`
From here, let's clear k:

`k = 4 * 40 k = 160`
Then, the equation is:

`P = 160 / A`
Answer:
The equation that relates these variables is:

`P = 160 / A`