Question 296682
Let F = force exerted and w = weight


So "The force exerted on the soles of the feet for a typical basketball jump shot is directly proportional to the shooter's weight" means that {{{F=kw}}} for some constant 'k'



Because we're given that "a 150 lb player exerts a force of 2000 lbs", we know that {{{F=2000}}} and {{{w=150}}}. Plug these into the equation above to get {{{2000=k(150)}}}. From here, divide both sides by 150 to get {{{k=2000/150=40/3}}}



So the equation is {{{F=(40/3)w}}}. Now just plug in {{{w=280}}} to find 'F' for a 280 lb player. 



Note: the given info on the height of the player has nothing to do with the problem. That's just there to throw you off.