Answer:
y = 16
Step-by-step explanation:
Given that 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 y = 48 when x = 6, thus
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{48}{6}[/tex] = 8
y = 8x ← equation of variation
When x = 2, then
y = 8 × 2 = 16
