Answer:
see explanation
Step-by-step explanation:
Given that y varies directly with x² then the equation relation them is
y = kx² ← k is the constant of variation
To find k use the condition x = 2 when y = 8
k = [tex]\frac{y}{x^{2} }[/tex] = [tex]\frac{8}{4}[/tex] = 2
y = 2x² ← equation of variation
When y = 9, then
2x² = 9 ( divide both sides by 2 )
x² = [tex]\frac{9}{2}[/tex] = 4.5 ( take the square root of both sides )
x = [tex]\sqrt{4.5}[/tex] ≈ 2.12 ≠ 3
