Question

the weight M of an object on Mars varies directly as it’s weight E on Earth. A person who weighs 95 lb on Earth weighs 38 lb on Mars. How much would a 100 lb person weight on Mars

Answer 1

A 100 lb person will weight 40 lb on Mars

Explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be =
`M`

Let weight on Earth be =
`E`

Its known that:

`M` ∝
`E`

Thus

`M=kE`

where
`k` is constant of proportionality.

when
`E=95\ lb`, then
`M=38\ lb`

thus, we have

`38=k(95)`

dividing both sides by 95.

`(38)/(95)=(k(95))/(95)`

∴
`k=(38)/(95)`

Thus when
`E= 100`,
`M` would be calculated as

`M=(38)/(95)* 100`

`M=(3800)/(95)`

∴
`M=40\ lb` (Answer)

∴ A 100 lb person will weight 40 lb on Mars.