Question

The weight M of an object on the moon varies directly as its weight E on earth. A person who weights 166.65lb on earth weighs 28.33lb on the moon. How much would a 226.47lb person weight on the moon?

Answer 1

`\begin{gathered} M\propto\text{ E} \\ M=kE \\ k=(M)/(E) \\ \text{when M = 28.33, E= 166.65} \end{gathered}`
`\begin{gathered} k=\text{ }(28.33)/(166.65) \\ \text{The law of the relationship is } \\ M\text{ = }(28.33)/(166.65)E \end{gathered}`

When E = 226.47,

`\begin{gathered} M\text{ = }(28.33)/(166.65)\text{ x 226.57} \\ M\text{ = 38.52 lb} \end{gathered}`

The answer is 38.52 lb