Question

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

Answer 1

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 2

Answer:

Y does not vary directly with x

Step-by-step explanation:

Direct proportion: When x is directly proportional to y

$y\propto x$

$y=kx$

k=Proportionality constant

$k=\frac{y}{x}$

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

x=7 and y=11

Then , $k=\frac{11}{7}=1.6$

x=8 and x=13

$k=\frac{13}{8}=1.6$

x=9 and y=15

$k=\frac{15}{9}=1.7$

x=10 and y=17

$k=\frac{17}{10}=1.7$

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