Answer:
y = [tex]\frac{25}{6}[/tex]
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 5 when x = 6
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{5}{6}[/tex], thus
y = [tex]\frac{5}{6}[/tex] x ← equation of variation
When x = 5, then
y = [tex]\frac{5}{6}[/tex] × 5 = [tex]\frac{25}{6}[/tex]
