Respuesta :

Answer:

see explanation

Step-by-step explanation:

let m be mars and e be earth.

Given that m varies directly with e then the equation relating them is

m = ke ← k is the constant of variation

To find k use the condition m = 50, e = 150, then

k = [tex]\frac{m}{e}[/tex] = [tex]\frac{50}{150}[/tex] = [tex]\frac{1}{3}[/tex]

m = [tex]\frac{1}{3}[/tex] e ← equation of variation

When e = 120, then

m = [tex]\frac{1}{3}[/tex] × 120 = 40 pounds