!!!!!!!!!!!!the answers is c
To get the average rate of change, we simply have to use this formula:
ARC = (y2 -y1) / (x2 - x1)
For the first function:
ARC = (64 - 0) / (4 - 0) = 16
For the second function, since it's a line, the ARC would just be equal to the slope
m = ARC = (-1 - 0) / (0 - (-2)) = -0.5
For the third function:
h(0) = 18
h(4) = 66
ARC = (66 - 18) / (4 - 0) = 12
Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:
g(x)
h(x)
f(x)
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:

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:

From here, let's clear k:

Then, the equation is:
Answer:
The equation that relates these variables is: