Question

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

Answer 1

I don't have a clue on how to do this please help me

Answer 2

you have to compare if the left column can be multiplied with the same number in every example

Answer 3

for example there is 10 and 16

what would you multiply 10 with to get 16 ?

Answer 4

1.6

Answer 5

yes

we can try if this works also for the first row:
4 x 1.6 = 4 + 2.4

Answer 6

4 x 1.6 = 6.4= 4 + 2.4

Answer 7

and that means it also works for the first row

Answer 8

in fact, you can try any row - left side times 1.6 is always the right side

Answer 9

Ok but what does it mean when it says find the constant of variation k

Answer 10

in this problem, y varies directly

y = k * x

and the constant k=1.6

Answer 11

y = 1.6 * x
is that the equation?
So y does vary direct with x right?

Answer 12

correct :)

Answer 13

Thanks!