Help meh. EXPLANATION REQUIRED.
with?
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.
^ Confusing
Wait, how do you divide k and u?
*v
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
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
I dont get it.
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
does v=1/u+6 looks like any of the forms I mentioned above?
Urrrrmmm.... Idk. Yesss?
so you see a plus sign in one of the forms I mentioned?
No.
which one has a plus sign?
Ok.
what about v/u=9
so many ppl in k12
Yes, Same as v/u=k, right?
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
what about 0.5(1/u)=v notice you can also write this as 0.5/u=v
No. None simular.
right that is actually an indirect variation
oh, ok.
and last one
Last one?
yes what do you think about the last one
Oh, 3.5u= v? Yes, I think its simular to the first one.....
the first one being v=1/u+6 how?
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.
The formula for direct variation is y = kx, where k is the constant of variation.
hopefully that helps @Thadds2003
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