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Mathematics 19 Online
OpenStudy (anonymous):

Help with three math problems!

OpenStudy (anonymous):

OpenStudy (anonymous):

help me @shamil98

OpenStudy (shamil98):

determine the value of k first for the direct variation. k = y/x

OpenStudy (shamil98):

y = kx so after you determine k , input the values and evaluate.

OpenStudy (anonymous):

Can u plug in the numbers? this is confusing

OpenStudy (mathmale):

Shamil has shared with you the correct form of the equation for direct variation. y=kx. Now please substitute x=-6 and y=-3 into that equation. Solve the result for k.

OpenStudy (anonymous):

ok let me solve it and then will u verify my answer?

OpenStudy (mathmale):

Sure, if you act fast!

OpenStudy (anonymous):

So i have =3=-6(x) what do i do from here?

OpenStudy (anonymous):

-3 divided by -6?

OpenStudy (mathmale):

Solve the result for k (not x). Please try this yourself.

OpenStudy (anonymous):

-0.5?

OpenStudy (anonymous):

2y-6=8x+4 2y=8x+10 y=4x+5 y'=4

OpenStudy (mathmale):

luba: why (-)?

OpenStudy (anonymous):

oh ur right not negative

OpenStudy (anonymous):

so just 0.5?

OpenStudy (anonymous):

what would be the constant of variation?

OpenStudy (mathmale):

So, luba, k=.5. yes. Now take that same equation again: y=kx. Substitute k=0.5. What will the equation now look like?

OpenStudy (anonymous):

-3=6(.5)

OpenStudy (anonymous):

oh the 6 is negative

OpenStudy (anonymous):

so -3=-6(0.5)

OpenStudy (anonymous):

correct?

OpenStudy (anonymous):

do u mind telling me the constant of variation?

OpenStudy (mathmale):

Take your time; accuracy is more important than speed. Is that equation of yours correct or not? You can judge that yourself.

OpenStudy (mathmale):

You have already found the constant of variation; it is k=0.5

OpenStudy (anonymous):

oh alright! plz is my equation correct

OpenStudy (mathmale):

Is -3=-6(0.5) true or false?

OpenStudy (anonymous):

true

OpenStudy (mathmale):

Yes; you didn't need to ask me whether it was correct or not; you know how to decide that for yourself.

OpenStudy (mathmale):

Now you know k. Substitute your k value into y = kx to obtain a general relationship between y and x.

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