Question

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

Answer 1

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 2

Y does not vary directly with x

Explanation:

Direct proportion: When x is directly proportional to y

`y\propto x`

`y=kx`

k=Proportionality constant

`k=(y)/(x)`

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

x=7 and y=11

Then ,
`k=(11)/(7)=1.6`

x=8 and x=13

`k=(13)/(8)=1.6`

x=9 and y=15

`k=(15)/(9)=1.7`

x=10 and y=17

`k=(17)/(10)=1.7`

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