Determine whether why varies directly with X. If so, find the constant of variation K and write the equation.

X 4, 7,10, 13

Y 6.4, 11.2, 16, 20.8

Respuesta :

The ratio of the y-value to the x-value is the same in every case (1.6), so the variation is direct and the constant (k) is 1.6.

[tex]\dfrac{y}{x}=\dfrac{6.4}{4}=\dfrac{11.2}{7}=\dfrac{16}{10}=\dfrac{20.8}{13}=1.6[/tex]

Multiplying the above equation by x, you get

... y = 1.6x