Question 675620
Sailboat speed. The sail area-displacement ratio S provides a measure of the sail power available to drive a boat.
 For a boat with a displacement of d pounds and a sail area of A square feet S is determined by the function.
The given formula S=16Ad^-2/3, (think it should be S=)
:
a. Find S to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds.
S = 16*810*23245^(-2/3)
Using a calc
S = 12960*.0012277604
S = 15.9 knots
:
b. Write d in terms of A and S
16*A*d^(-2/3) = S
d^(-2/3) = {{{S/(16A)}}}
Raise both sides to (-3/2) to give d an exponent of 1
d = {{{(s/(16A))^(-3/2)}}}