Respuesta :
Let w represents the weight and d represents the distance.
It is given that
The weight needed to balance a lever varies inversely with the distance from the fulcrum to the weight. A 120-lb weight is placed on a lever, 5 ft from the fulcrum.
[tex]w = \frac{k}{d}[/tex]
Substituting the values of w and d, we will get
[tex]120= \frac{k}{5} \\ k =600lb \ ft[/tex]
Using the value of k which is 600, with the above equation and the given value of d which is 8, we will get
[tex]w = \frac{600}{8} = 75lb[/tex]
Therefore the correct option is B .