Respuesta :

Answer: [tex]y∝x[/tex]

              [tex]y=kx[/tex][tex]y=kx[/tex]

              Given y=2 when x=3

              [tex]2=k*3[/tex]

              [tex]k=\frac{2}{3}[/tex]

              when x=1

              [tex]y=kx[/tex]

              [tex]y=\frac{2}{3}*1[/tex]

              [tex]y=\frac{2}{3}[/tex]

The value of y is 2/3 when x is equal to 1 if the y varies directly as x, and y = 2 when x = 3.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have a proportional relationship given between x and y:

y ∝ x

y = Kx

Plug y = 2 and x = 3 to find the value of K

2 = 3K

K = 2/3

y = 2x/3

Plug x = 1

y = 2/3

Thus, the value of y is 2/3 when x is equal to 1 if the y varies directly as x, and y = 2 when x = 3.

Learn more about the proportional here:

brainly.com/question/14263719

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