Determine whether y varies directly with x. If so, find the constant of variation and write the equation. x: -2, -4, -6 . y: -8, -16, -24

Question

bahrom7893 · Answer

varies directly means:
y=kx, where k is some constant. Do these numbers follow that pattern?

anonymous · Answer

yes

anonymous · Answer

but what does constant of variation mean ?

bahrom7893 · Answer

some number that doesn't change

bahrom7893 · Answer

They're asking you to find that number

anonymous · Answer

these are the possible answers ..
a. yes; k=-4 and x=-4y
b. no <-- which is not the answer
c. yes; k=4 and y=4x
d. yes; k=-4 and y=-4x

i just dont understand because they all look similar and they are all 4

bahrom7893 · Answer

Okay so try it out. Pick one of those choices. Which one do you choose?

anonymous · Answer

i think its a ...

anonymous · Answer

but i dont want to get it wrong

bahrom7893 · Answer

okay let's try a:
k=-4
x: -2, -4, -6 . y: -8, -16, -24
y=kx= (-4)*(-2) = 8
But we wanted y to be -8

bahrom7893 · Answer

So a is not our option

anonymous · Answer

oh my god i definitely get it now ! the answer is C! thank you so much !!!

bahrom7893 · Answer

Yup

anonymous · Answer

i can get the rest of the answers now thanks

bahrom7893 · Answer

you're very welcome