Answer:
A 100 lb person will weight 40 lb on Mars
Step-by-step explanation:
Given:
Weight on Mars directly varies as its weight on earth.
Let weight on Mars be = [tex]M[/tex]
Let weight on Earth be = [tex]E[/tex]
Its known that:
[tex]M[/tex] ∝ [tex]E[/tex]
Thus
[tex]M=kE[/tex]
where [tex]k[/tex] is constant of proportionality.
when [tex]E=95\ lb[/tex], then [tex]M=38\ lb[/tex]
thus, we have
[tex]38=k(95)[/tex]
dividing both sides by 95.
[tex]\frac{38}{95}=\frac{k(95)}{95}[/tex]
∴ [tex]k=\frac{38}{95}[/tex]
Thus when [tex]E= 100[/tex], [tex]M[/tex] would be calculated as
[tex]M=\frac{38}{95}\times 100[/tex]
[tex]M=\frac{3800}{95}[/tex]
∴ [tex]M=40\ lb[/tex] (Answer)
∴ A 100 lb person will weight 40 lb on Mars.
