Answer:
x = 24
Step-by-step explanation:
Given that y varies directly with x the the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 8, then
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{10}{8}[/tex] = 1.25, thus
y = 1.25x ← equation of variation
When y = 30, then
30 = 1.25x ( divide both sides by 1.25 )
x = 24
