Answer:
y = [tex]\frac{49}{3}[/tex]
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 = 7 when x = 3
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{7}{3}[/tex], thus
y = [tex]\frac{7}{3}[/tex] x ← equation of variation
When x = 7, then
y = [tex]\frac{7}{3}[/tex] × 7 = [tex]\frac{49}{3}[/tex]
