Determine whether quantities vary directly or inversely and find the constant of variation. Levon, who weighs 153 lb, sits 6 ft from the seesaw support. How far from the support should sit Sonya, whose weight is 102 lb, if she wants to balance the seesaw?

The weight times the distance has to equal for it to balance. So Sonya, who weights only two-thirds as much. as Levon (102/153=2/3), has to sit 3/2 times as far, or 6*3/2=9 feet. 3/2 or 1.5 would be the constant of variation 9*102=6*153=918 on both sides. The heavier you are, the closer you need to sit, so they would vary inversely.

The question should be about type 1 lever of physic. In type 1 lever, there is two object/force with the fulcrum located between it. The force made by the object weight is influenced by the distance to the fulcrum. Longer distance/moment arm will result in a higher force. The calculation for balanced force would be:

force1 * distance1 = force2 * distance2

153 lb * g * 6ft = 102lb * g * distance2

distance2 = 153 * 6ft / 102 = 9ft