Answer:
900 g
Step-by-step explanation:
let e be extension and w be weight
given e varies directly as w then the equation relating them is
e = kw ← k is the constant of variation
to find k use the condition w = 150 , e = 2.9 , then
2.9 = 150k ( divide both sides by 150 )
[tex]\frac{2.9}{150}[/tex] = k , that is
k = [tex]\frac{29}{1500}[/tex]
e = [tex]\frac{29}{1500}[/tex] w ← equation of variation
when e = 17.4 , then
17.4 = [tex]\frac{29}{1500}[/tex] w ( multiply both sides by 1500 )
26100 = 29w ( divide both sides by 29 )
900 = w