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skad [1K]
3 years ago
14

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=
Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0
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
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