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a student is given that y varies directly with x^2 and that x = 2 when y = 8. correct the student’s claim that x = 3 when y = 9 then. explain your reasoning.

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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 = = = 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

step-by-step explanation:

∈3,600

step-by-step explanation: