#### Answer

x = 120 lbs

#### Work Step by Step

The weight of an object on a lever and its distance from the fulcrum is in an inverse variation. That is, the product of the weight of an object and its distance from the fulcrum is always a constant. Therefore, if we let x be the number of pounds of the object 6 ft away from the fulcrum, the equation we can use is 80 · 9 = x · 6.
80 · 9 = x · 6
720 = 6x
x = 120