Question

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

x y
4 6.4
7 11.2
10 16
13 20.8

Please show your work and give me an explanation. I have a test coming up and I am really stuck on these types of questions. I'd like to write this in my notebook for future reference and practice. :) Thanks! Will medal/fan as always.

Answer 1

y=kx

Answer 2

As I said, please give an explanation and show your work. I don't want just an answer. I like to learn!! Thank you though.

Answer 3

I'm really not sure how to do it at all. :(

Answer 4

okay..
put 6.4=4*k

Answer 5

* means multiply, right? Or no?

Answer 6

yes its multiply....and you can do this calculation for all the sets.. then check if you get a consistent k.. if k is same throughout.. then y is linearly dependent

Answer 7

Okay, I think I got it.

Answer 8

okay no problem.. may you do well in your test

Answer 9

Thank you!

Answer 10

@ribhu Hey, I wanted to ask a question. When it says "write the equation" what would the equation be? I figured out that they all equal 1.6, so thank you. but i don't know what it means by equation.

Answer 11

y = kx where k is the constant of variation
k =1.6 in this question
so replace k with 1.6 that would be the equation

Answer 12

Okay, thanks! @nnesha