Respuesta :

PauloL

y = kx²


y = 6 when x = 6


6 = k.6²

6 = 36k

k = 6/36

k = 1/6


The constant variation is 1/6

apologiabiology

y varies directly as xto the power of 2 means

[tex]\frac{y}{x^2}=k[/tex]

where k is constant of variation

when y=6 and x=6, find k

subsitute

[tex]\frac{6}{6^2}=k[/tex]

[tex]\frac{6}{36}=k[/tex]

[tex]\frac{1}[6}=k[/tex]


the constant of variation is [tex]\frac{1}{6}[/tex]