Answer:
y = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given y varies directly as x, then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 6 when y = 0.5 , then
0.5 = 6k ( divide both sides by 6 )
[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]
y = [tex]\frac{1}{12}[/tex] x ← equation of variation
When x = 10, then
y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]
