dyllan6016p867w8 dyllan6016p867w8
  • 28-02-2020
  • Mathematics
contestada

Suppose that y varies directly as the square of x, and that y=567 when x=9. What is y when x=4

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adebayodeborah8
adebayodeborah8 adebayodeborah8
  • 28-02-2020

Answer:

y  = 112

Step-by-step explanation:

If  y varies directly as the square of x

mathematically;

y ∝ x²

y = kx² where 'k' is the constant of proportionality

let u know the value of k for this equation by making k the subject of the formular from y = kx²

divide both sides by x²

k = y / x²

given that  y = 567 x = 9

k = 567/(9)²

k = 567/81

k = 7

now to get the value of  y when x = 4

from the equation conneting x, y,

y = kx²

y = 7 × (4)²

y = 7 × 16

y  = 112

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