For problem 1, there are three scenarios possible:

1) 0 < W <= 50 then cost per pound = $2.20

2) 50 < W <= 200 then cost per pound = $2.10

3) 200 < W then cost per pound = $2.05

In general the cost of shipping is:

Cost = W * (Cost Per Pound)

If we have a W = 40 LBS then

Cost = 40 * $2.20 = $80.80

If we have a W = 60 LBS then

Cost = 60 * $2.10 = $120.60

If we have a W = 300 then

Cost = 300 * $2.05 = $603.00

Hopefully that makes sense.....now, to write that a a function i would do something like this:

f(w) = 2.20 * w , 0 < w <= 50

2.10 * w, 50 < w <= 200

2.05 * w, 200 < w

For problem 2:

D(h)= √(2rh+h^2 )

First, we need to get things into miles since they tell us that the equation expects miles

so 1135 ft = 1135/5280 miles = 0.215 mi

D(h) = ( 2(3960)(.215) + .215^2 ) ^0.5 = 41.23 miles

D(h) = ( 2(3960)(7) + 7^2 )^0.5 = 327.06 miles

Problem 3:

Brain (B) is proportional to Body Weight (W) or B/W

B = 4 when W = 150 so we know that B/W = 4/150

Part A)

B = (B/W) * W

check it with given data: B = (4/150) * 150 = 4.....correct.

Part B)

B = (4/150) * 176 = 4.7

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