Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

Determine whether y varies directly with x If so find the constant of variation k and write the equation class=

Respuesta :

Answer:

x(2)-3=y

Step-by-step explanation: take 7 times 2 and get 14, minus 3=11. 8*2=16 -3=13 and so forth.

Answer:

Y does not vary directly with x

Step-by-step explanation:

Direct proportion: When x is directly proportional to y

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

k=Proportionality constant

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

When x is directly proportional to y then k remain constant.

x=7 and y=11

Then , [tex]k=\frac{11}{7}=1.6[/tex]

x=8 and x=13

[tex]k=\frac{13}{8}=1.6[/tex]

x=9 and y=15

[tex]k=\frac{15}{9}=1.7[/tex]

x=10 and y=17

[tex]k=\frac{17}{10}=1.7[/tex]

Value of k does not remain constant .Therefore, y does not vary directly with x.