The weight M of an object on the moon varies directly as its weight E on earth. A person who weighs 149.76 l b on earth weighs 25.46 l b on the moon. How much would a 256.47 dash l b person weigh on the moon?

Weight on the moon = 43.60 l b

Step-by-step explanation:

Let the weight of the object on the moon be M.

Let the weight of the object on the earth be E.

M α E

M = kE (where k = constant)

Make k the subject of the formula.

k = M/E

When M = 25.46 l b and E = 149.76 l b

k = 25.46/149.76

k = 0.17

Put k = 0.17 into the equation M = kE

Therefore;

M = 0.17E (This shows the relationship between M and E)

When E = 256.47 l b

M = 0.17 * 256.47

M = 43.60 l b