Answer:
y = 1.5
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 = 48 when y = 6
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{6}{48}[/tex] = [tex]\frac{1}{8}[/tex]
y = [tex]\frac{1}{8}[/tex] x ← equation of variation
When x = 12, then
y = [tex]\frac{1}{8}[/tex] × 12 = 1.5
