Answer:
see explanation
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 =
=
= 2
y = 2x² ← equation of variation
When y = 9, then
2x² = 9 ( divide both sides by 2 )
x² =
= 4.5 ( take the square root of both sides )
x =
≈ 2.12 ≠ 3