Answer:
y = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition
y = 6 when x = 18 , then
6 = 18k ( divide both sides by 18 )
k = [tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x ← equation of variation
When x = 8, then
y = [tex]\frac{1}{3}[/tex] × 8 = [tex]\frac{8}{3}[/tex]
