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Mathematics 11 Online
OpenStudy (thadds2003):

Help meh. EXPLANATION REQUIRED.

OpenStudy (19rutlehop):

with?

OpenStudy (thadds2003):

OpenStudy (freckles):

a direct variation between u and v looks like this u=kv where k is a constant. Though you can do division of k or v and make the relationship look a little differently... But basically if you are able to multiply by a constant to either u or v and get v or u respectively then it is a direct variation.

OpenStudy (19rutlehop):

^ Confusing

OpenStudy (thadds2003):

Wait, how do you divide k and u?

OpenStudy (thadds2003):

*v

OpenStudy (freckles):

u=kv if you divide both sides by k you get u/k=v if you divide both sides by v you get u/v=k

OpenStudy (freckles):

instead of u/k=v it could be cu=v where c is the new constant you could also choose divide both sides by c giving you u=v/c or if you choose to divide both sides by u giving you c=v/u

OpenStudy (thadds2003):

I dont get it.

OpenStudy (freckles):

So summary equations looking like the following thing direct variation between u and v: u=kv u/k=v u/v=k v=cu u=v/c c=v/u notice the only operations here are multiplication and division

OpenStudy (freckles):

does v=1/u+6 looks like any of the forms I mentioned above?

OpenStudy (thadds2003):

Urrrrmmm.... Idk. Yesss?

OpenStudy (freckles):

so you see a plus sign in one of the forms I mentioned?

OpenStudy (thadds2003):

No.

OpenStudy (freckles):

which one has a plus sign?

OpenStudy (freckles):

Ok.

OpenStudy (freckles):

what about v/u=9

OpenStudy (purple_pink):

so many ppl in k12

OpenStudy (thadds2003):

Yes, Same as v/u=k, right?

OpenStudy (freckles):

u=kv u/k=v u/v=k v=cu u=v/c c=v/u right that one looks like the last one I wrote

OpenStudy (freckles):

what about 0.5(1/u)=v notice you can also write this as 0.5/u=v

OpenStudy (thadds2003):

No. None simular.

OpenStudy (freckles):

right that is actually an indirect variation

OpenStudy (thadds2003):

oh, ok.

OpenStudy (freckles):

and last one

OpenStudy (thadds2003):

Last one?

OpenStudy (freckles):

yes what do you think about the last one

OpenStudy (thadds2003):

Oh, 3.5u= v? Yes, I think its simular to the first one.....

OpenStudy (freckles):

the first one being v=1/u+6 how?

OpenStudy (freckles):

summary: it is a direct variation between u and v if you can express the equation in the form u=kv where k is a constant. We cannot do that with v=1/u+6 <---notice the addition v/u=9 can be written as v=9u or 1/9*v=u <--- this is a direct variation because it is in the form u=kv 0.5(1/u)=v is a indirect variation because it is in the form v=k/u v=3.5u or also known as u=v/3.5 or u=(1/3.5)v is a direct variation because it is in the form u=kv I took u=kv and wrote it in all the forms I can think of: u=kv u/k=v u/v=k v=cu u=v/c c=v/u to make it easier for you A definitely doesn't have any of those forms B is in that last form. C is in none of those forms. D is in the 4th form there.

OpenStudy (dani_rose):

The formula for direct variation is y = kx, where k is the constant of variation.

OpenStudy (dani_rose):

hopefully that helps @Thadds2003

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