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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.

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 = = = 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

56/79=.7088

Step-by-step explanation:

We are given Ben score 56.

Total marks out of which 65 Ben got is =79 marks.

We need to find, 56 is what percentage of 79.

to find the percentage, we need to divide getting marks from total marks and then multiply by 100.

On dividing 56 by 79 we get 0.70886..

to multiply it by 100, we get

0.70886..× 100 = 70.886.

round it to 1 decimal place.

Therefore,  70.886 ≈ 70.9 %.

Ben's score is 70.9%.