Answer:
y = [tex]\frac{1}{6}[/tex] x
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the given condition that y = 7 when x = 42
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{7}{42}[/tex] = [tex]\frac{1}{6}[/tex]
y = [tex]\frac{1}{6}[/tex] x ← equation of variation