Respuesta :

y/x = k

6.4/4 = 1.6

11.2 / 7 =1.6

16/10 = 1.6

20.8 /13 =1.6


This is a direct variation and the constant is 1.6

y=1.6x

Answer:

[tex]y=1.6x[/tex]

Step-by-step explanation:

If y varies directly proportional with x, then equation is y=kx

where k is the constant of proportionality

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

LEts find out k

we use the table to find the value of k, divide y value by x value

[tex] \frac{6.4}{4}=1.6[/tex]

[tex] \frac{11.2}{7}=1.6[/tex]

[tex] \frac{16}{10}=1.6[/tex]

[tex] \frac{20.8}{13}=1.6[/tex]

1.6 is a constant . so k=1.6

y=kx

Replace the value of k, the equation becomes

[tex]y=1.6 x[/tex]

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